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Finding the Third Proportional to 152,099,694 and 328,445,604

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Solution

The third proportional to 152,099,694 and 328,445,604 is: 709,248,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,099,694 : 328,445,604 = 328,445,604 : x
  2. Step 2: Convert to fraction form
    152,099,694/328,445,604 = 328,445,604/x
  3. Step 3: Cross multiply
    152,099,694x = 328,445,604 × 328,445,604
  4. Step 4: Simplify right side
    152,099,694x = 107,876,514,786,924,816
  5. Step 5: Solve for x
    x = 107,876,514,786,924,816/152,099,694
  6. Step 6: Final answer
    x = 709,248,729.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.