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Finding the Third Proportional to 152,816,477 and 238,304,897

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Solution

The third proportional to 152,816,477 and 238,304,897 is: 371,617,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,816,477 : 238,304,897 = 238,304,897 : x
  2. Step 2: Convert to fraction form
    152,816,477/238,304,897 = 238,304,897/x
  3. Step 3: Cross multiply
    152,816,477x = 238,304,897 × 238,304,897
  4. Step 4: Simplify right side
    152,816,477x = 56,789,223,934,180,608
  5. Step 5: Solve for x
    x = 56,789,223,934,180,608/152,816,477
  6. Step 6: Final answer
    x = 371,617,151.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.