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Finding the Third Proportional to 83,750.63 and 180,631.13

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Solution

The third proportional to 83,750.63 and 180,631.13 is: 389,580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,750.63 : 180,631.13 = 180,631.13 : x
  2. Step 2: Convert to fraction form
    83,750.63/180,631.13 = 180,631.13/x
  3. Step 3: Cross multiply
    83,750.63x = 180,631.13 × 180,631.13
  4. Step 4: Simplify right side
    83,750.63x = 32,627,603,318.77
  5. Step 5: Solve for x
    x = 32,627,603,318.77/83,750.63
  6. Step 6: Final answer
    x = 389,580.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.