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Finding the Third Proportional to 83,148.75 and 182,905.88

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Solution

The third proportional to 83,148.75 and 182,905.88 is: 402,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,148.75 : 182,905.88 = 182,905.88 : x
  2. Step 2: Convert to fraction form
    83,148.75/182,905.88 = 182,905.88/x
  3. Step 3: Cross multiply
    83,148.75x = 182,905.88 × 182,905.88
  4. Step 4: Simplify right side
    83,148.75x = 33,454,559,109.52
  5. Step 5: Solve for x
    x = 33,454,559,109.52/83,148.75
  6. Step 6: Final answer
    x = 402,345.91

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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.