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Finding the Third Proportional to 94,691 and 207,200

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Solution

The third proportional to 94,691 and 207,200 is: 453,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,691 : 207,200 = 207,200 : x
  2. Step 2: Convert to fraction form
    94,691/207,200 = 207,200/x
  3. Step 3: Cross multiply
    94,691x = 207,200 × 207,200
  4. Step 4: Simplify right side
    94,691x = 42,931,840,000
  5. Step 5: Solve for x
    x = 42,931,840,000/94,691
  6. Step 6: Final answer
    x = 453,388.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.