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Finding the Third Proportional to 48,198,877 and 105,962,463

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Solution

The third proportional to 48,198,877 and 105,962,463 is: 232,952,389.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198,877 : 105,962,463 = 105,962,463 : x
  2. Step 2: Convert to fraction form
    48,198,877/105,962,463 = 105,962,463/x
  3. Step 3: Cross multiply
    48,198,877x = 105,962,463 × 105,962,463
  4. Step 4: Simplify right side
    48,198,877x = 11,228,043,565,026,368
  5. Step 5: Solve for x
    x = 11,228,043,565,026,368/48,198,877
  6. Step 6: Final answer
    x = 232,952,389.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.