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Finding the Third Proportional to 100,585.97 and 151,904.11

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Solution

The third proportional to 100,585.97 and 151,904.11 is: 229,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,585.97 : 151,904.11 = 151,904.11 : x
  2. Step 2: Convert to fraction form
    100,585.97/151,904.11 = 151,904.11/x
  3. Step 3: Cross multiply
    100,585.97x = 151,904.11 × 151,904.11
  4. Step 4: Simplify right side
    100,585.97x = 23,074,858,445.01
  5. Step 5: Solve for x
    x = 23,074,858,445.01/100,585.97
  6. Step 6: Final answer
    x = 229,404.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.