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Finding the Third Proportional to 96,904,484 and 148,948,863

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Solution

The third proportional to 96,904,484 and 148,948,863 is: 228,944,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904,484 : 148,948,863 = 148,948,863 : x
  2. Step 2: Convert to fraction form
    96,904,484/148,948,863 = 148,948,863/x
  3. Step 3: Cross multiply
    96,904,484x = 148,948,863 × 148,948,863
  4. Step 4: Simplify right side
    96,904,484x = 22,185,763,788,992,768
  5. Step 5: Solve for x
    x = 22,185,763,788,992,768/96,904,484
  6. Step 6: Final answer
    x = 228,944,656.36

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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.