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Finding the Third Proportional to 164,681,082 and 242,231,607

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Solution

The third proportional to 164,681,082 and 242,231,607 is: 356,301,711.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,681,082 : 242,231,607 = 242,231,607 : x
  2. Step 2: Convert to fraction form
    164,681,082/242,231,607 = 242,231,607/x
  3. Step 3: Cross multiply
    164,681,082x = 242,231,607 × 242,231,607
  4. Step 4: Simplify right side
    164,681,082x = 58,676,151,429,802,448
  5. Step 5: Solve for x
    x = 58,676,151,429,802,448/164,681,082
  6. Step 6: Final answer
    x = 356,301,711.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.