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Finding the Third Proportional to 48,198,860 and 105,962,452

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Solution

The third proportional to 48,198,860 and 105,962,452 is: 232,952,423.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198,860 : 105,962,452 = 105,962,452 : x
  2. Step 2: Convert to fraction form
    48,198,860/105,962,452 = 105,962,452/x
  3. Step 3: Cross multiply
    48,198,860x = 105,962,452 × 105,962,452
  4. Step 4: Simplify right side
    48,198,860x = 11,228,041,233,852,304
  5. Step 5: Solve for x
    x = 11,228,041,233,852,304/48,198,860
  6. Step 6: Final answer
    x = 232,952,423.23

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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.