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Finding the Third Proportional to 49,301.25 and 107,931.25

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Solution

The third proportional to 49,301.25 and 107,931.25 is: 236,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,301.25 : 107,931.25 = 107,931.25 : x
  2. Step 2: Convert to fraction form
    49,301.25/107,931.25 = 107,931.25/x
  3. Step 3: Cross multiply
    49,301.25x = 107,931.25 × 107,931.25
  4. Step 4: Simplify right side
    49,301.25x = 11,649,154,726.56
  5. Step 5: Solve for x
    x = 11,649,154,726.56/49,301.25
  6. Step 6: Final answer
    x = 236,285.18

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