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Finding the Third Proportional to 107,286.19 and 157,642.88

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Solution

The third proportional to 107,286.19 and 157,642.88 is: 231,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,286.19 : 157,642.88 = 157,642.88 : x
  2. Step 2: Convert to fraction form
    107,286.19/157,642.88 = 157,642.88/x
  3. Step 3: Cross multiply
    107,286.19x = 157,642.88 × 157,642.88
  4. Step 4: Simplify right side
    107,286.19x = 24,851,276,038.27
  5. Step 5: Solve for x
    x = 24,851,276,038.27/107,286.19
  6. Step 6: Final answer
    x = 231,635.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.