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Finding the Third Proportional to 105,521,976 and 229,092,048

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Solution

The third proportional to 105,521,976 and 229,092,048 is: 497,367,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,521,976 : 229,092,048 = 229,092,048 : x
  2. Step 2: Convert to fraction form
    105,521,976/229,092,048 = 229,092,048/x
  3. Step 3: Cross multiply
    105,521,976x = 229,092,048 × 229,092,048
  4. Step 4: Simplify right side
    105,521,976x = 52,483,166,456,834,304
  5. Step 5: Solve for x
    x = 52,483,166,456,834,304/105,521,976
  6. Step 6: Final answer
    x = 497,367,168.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.