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Finding the Third Proportional to 94,132.88 and 206,923.88

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Solution

The third proportional to 94,132.88 and 206,923.88 is: 454,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,132.88 : 206,923.88 = 206,923.88 : x
  2. Step 2: Convert to fraction form
    94,132.88/206,923.88 = 206,923.88/x
  3. Step 3: Cross multiply
    94,132.88x = 206,923.88 × 206,923.88
  4. Step 4: Simplify right side
    94,132.88x = 42,817,490,045.02
  5. Step 5: Solve for x
    x = 42,817,490,045.02/94,132.88
  6. Step 6: Final answer
    x = 454,862.24

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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.