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Finding the Third Proportional to 104,741,871.75 and 227,613,700.13

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Solution

The third proportional to 104,741,871.75 and 227,613,700.13 is: 494,625,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,741,871.75 : 227,613,700.13 = 227,613,700.13 : x
  2. Step 2: Convert to fraction form
    104,741,871.75/227,613,700.13 = 227,613,700.13/x
  3. Step 3: Cross multiply
    104,741,871.75x = 227,613,700.13 × 227,613,700.13
  4. Step 4: Simplify right side
    104,741,871.75x = 51,807,996,484,593,424
  5. Step 5: Solve for x
    x = 51,807,996,484,593,424/104,741,871.75
  6. Step 6: Final answer
    x = 494,625,459.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.