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Finding the Third Proportional to 83,800.97 and 119,710.69

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Solution

The third proportional to 83,800.97 and 119,710.69 is: 171,008.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,800.97 : 119,710.69 = 119,710.69 : x
  2. Step 2: Convert to fraction form
    83,800.97/119,710.69 = 119,710.69/x
  3. Step 3: Cross multiply
    83,800.97x = 119,710.69 × 119,710.69
  4. Step 4: Simplify right side
    83,800.97x = 14,330,648,701.72
  5. Step 5: Solve for x
    x = 14,330,648,701.72/83,800.97
  6. Step 6: Final answer
    x = 171,008.15

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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.