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Finding the Third Proportional to 96,904,398.09 and 148,948,744.64

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Solution

The third proportional to 96,904,398.09 and 148,948,744.64 is: 228,944,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904,398.09 : 148,948,744.64 = 148,948,744.64 : x
  2. Step 2: Convert to fraction form
    96,904,398.09/148,948,744.64 = 148,948,744.64/x
  3. Step 3: Cross multiply
    96,904,398.09x = 148,948,744.64 × 148,948,744.64
  4. Step 4: Simplify right side
    96,904,398.09x = 22,185,728,530,016,624
  5. Step 5: Solve for x
    x = 22,185,728,530,016,624/96,904,398.09
  6. Step 6: Final answer
    x = 228,944,495.47

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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.