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Finding the Third Proportional to 83,982,885.75 and 120,095,670

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Solution

The third proportional to 83,982,885.75 and 120,095,670 is: 171,737,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982,885.75 : 120,095,670 = 120,095,670 : x
  2. Step 2: Convert to fraction form
    83,982,885.75/120,095,670 = 120,095,670/x
  3. Step 3: Cross multiply
    83,982,885.75x = 120,095,670 × 120,095,670
  4. Step 4: Simplify right side
    83,982,885.75x = 14,422,969,952,748,900
  5. Step 5: Solve for x
    x = 14,422,969,952,748,900/83,982,885.75
  6. Step 6: Final answer
    x = 171,737,013.13

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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.