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Finding the Third Proportional to 83,982,939 and 120,095,748

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Solution

The third proportional to 83,982,939 and 120,095,748 is: 171,737,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982,939 : 120,095,748 = 120,095,748 : x
  2. Step 2: Convert to fraction form
    83,982,939/120,095,748 = 120,095,748/x
  3. Step 3: Cross multiply
    83,982,939x = 120,095,748 × 120,095,748
  4. Step 4: Simplify right side
    83,982,939x = 14,422,988,687,679,504
  5. Step 5: Solve for x
    x = 14,422,988,687,679,504/83,982,939
  6. Step 6: Final answer
    x = 171,737,127.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.