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Finding the Third Proportional to 82,927,081.13 and 180,439,275.38

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Solution

The third proportional to 82,927,081.13 and 180,439,275.38 is: 392,613,988.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,927,081.13 : 180,439,275.38 = 180,439,275.38 : x
  2. Step 2: Convert to fraction form
    82,927,081.13/180,439,275.38 = 180,439,275.38/x
  3. Step 3: Cross multiply
    82,927,081.13x = 180,439,275.38 × 180,439,275.38
  4. Step 4: Simplify right side
    82,927,081.13x = 32,558,332,097,855,080
  5. Step 5: Solve for x
    x = 32,558,332,097,855,080/82,927,081.13
  6. Step 6: Final answer
    x = 392,613,988.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.