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Finding the Third Proportional to 152,307,351 and 232,032,143

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Solution

The third proportional to 152,307,351 and 232,032,143 is: 353,488,620.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,307,351 : 232,032,143 = 232,032,143 : x
  2. Step 2: Convert to fraction form
    152,307,351/232,032,143 = 232,032,143/x
  3. Step 3: Cross multiply
    152,307,351x = 232,032,143 × 232,032,143
  4. Step 4: Simplify right side
    152,307,351x = 53,838,915,385,172,448
  5. Step 5: Solve for x
    x = 53,838,915,385,172,448/152,307,351
  6. Step 6: Final answer
    x = 353,488,620.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.