To determine the gold price per ounce required to cancel out the entire U.S. debt, we will use the following steps:

### Step 1: Determine the total U.S. debt.

**Current U.S. debt**: $33 trillion

### Step 2: Calculate the required value of gold reserves.

**Gold reserves**: 261,498,350.45 troy ounces- We need the total value of gold reserves to equal $33 trillion.

### Step 3: Calculate the required price per ounce.

[

\text{Required price per ounce} = \frac{33 \text{ trillion dollars}}{261,498,350.45 \text{ troy ounces}}

]

### Step 4: Perform the calculation.

[

\text{Required price per ounce} = \frac{33,000,000,000,000 \text{ dollars}}{261,498,350.45 \text{ troy ounces}} \approx 126,205.75 \text{ dollars/ounce}

]

### Conclusion:

To cancel out the entire U.S. debt using its gold reserves, the price of gold would need to be approximately **$126,206 per ounce**.