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Finding the Third Proportional to 87,461,775.84 and 202,479,377.06

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Solution

The third proportional to 87,461,775.84 and 202,479,377.06 is: 468,752,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461,775.84 : 202,479,377.06 = 202,479,377.06 : x
  2. Step 2: Convert to fraction form
    87,461,775.84/202,479,377.06 = 202,479,377.06/x
  3. Step 3: Cross multiply
    87,461,775.84x = 202,479,377.06 × 202,479,377.06
  4. Step 4: Simplify right side
    87,461,775.84x = 40,997,898,135,618,048
  5. Step 5: Solve for x
    x = 40,997,898,135,618,048/87,461,775.84
  6. Step 6: Final answer
    x = 468,752,180.48

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.