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Finding the Third Proportional to 152,904,540 and 330,151,896

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Solution

The third proportional to 152,904,540 and 330,151,896 is: 712,864,866.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,904,540 : 330,151,896 = 330,151,896 : x
  2. Step 2: Convert to fraction form
    152,904,540/330,151,896 = 330,151,896/x
  3. Step 3: Cross multiply
    152,904,540x = 330,151,896 × 330,151,896
  4. Step 4: Simplify right side
    152,904,540x = 109,000,274,432,394,816
  5. Step 5: Solve for x
    x = 109,000,274,432,394,816/152,904,540
  6. Step 6: Final answer
    x = 712,864,866.09

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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.