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Finding the Third Proportional to 83,217.75 and 183,010.13

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Solution

The third proportional to 83,217.75 and 183,010.13 is: 402,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,217.75 : 183,010.13 = 183,010.13 : x
  2. Step 2: Convert to fraction form
    83,217.75/183,010.13 = 183,010.13/x
  3. Step 3: Cross multiply
    83,217.75x = 183,010.13 × 183,010.13
  4. Step 4: Simplify right side
    83,217.75x = 33,492,705,852.52
  5. Step 5: Solve for x
    x = 33,492,705,852.52/83,217.75
  6. Step 6: Final answer
    x = 402,470.70

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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.