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Finding the Third Proportional to 83,337.75 and 183,291.19

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Solution

The third proportional to 83,337.75 and 183,291.19 is: 403,126.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,337.75 : 183,291.19 = 183,291.19 : x
  2. Step 2: Convert to fraction form
    83,337.75/183,291.19 = 183,291.19/x
  3. Step 3: Cross multiply
    83,337.75x = 183,291.19 × 183,291.19
  4. Step 4: Simplify right side
    83,337.75x = 33,595,659,415.16
  5. Step 5: Solve for x
    x = 33,595,659,415.16/83,337.75
  6. Step 6: Final answer
    x = 403,126.55

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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.