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Finding the Third Proportional to 49,884.19 and 107,681.06

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Solution

The third proportional to 49,884.19 and 107,681.06 is: 232,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,884.19 : 107,681.06 = 107,681.06 : x
  2. Step 2: Convert to fraction form
    49,884.19/107,681.06 = 107,681.06/x
  3. Step 3: Cross multiply
    49,884.19x = 107,681.06 × 107,681.06
  4. Step 4: Simplify right side
    49,884.19x = 11,595,211,221.13
  5. Step 5: Solve for x
    x = 11,595,211,221.13/49,884.19
  6. Step 6: Final answer
    x = 232,442.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.