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Finding the Third Proportional to 96,904,465 and 148,948,832

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Solution

The third proportional to 96,904,465 and 148,948,832 is: 228,944,605.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,904,465 : 148,948,832 = 148,948,832 : x
  2. Step 2: Convert to fraction form
    96,904,465/148,948,832 = 148,948,832/x
  3. Step 3: Cross multiply
    96,904,465x = 148,948,832 × 148,948,832
  4. Step 4: Simplify right side
    96,904,465x = 22,185,754,554,164,224
  5. Step 5: Solve for x
    x = 22,185,754,554,164,224/96,904,465
  6. Step 6: Final answer
    x = 228,944,605.95

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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.