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Finding the Third Proportional to 96,904,488 and 148,948,909.50

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Solution

The third proportional to 96,904,488 and 148,948,909.50 is: 228,944,789.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904,488 : 148,948,909.50 = 148,948,909.50 : x
  2. Step 2: Convert to fraction form
    96,904,488/148,948,909.50 = 148,948,909.50/x
  3. Step 3: Cross multiply
    96,904,488x = 148,948,909.50 × 148,948,909.50
  4. Step 4: Simplify right side
    96,904,488x = 22,185,777,641,239,192
  5. Step 5: Solve for x
    x = 22,185,777,641,239,192/96,904,488
  6. Step 6: Final answer
    x = 228,944,789.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.