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Finding the Third Proportional to 65,386.13 and 138,618.84

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Solution

The third proportional to 65,386.13 and 138,618.84 is: 293,872.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,386.13 : 138,618.84 = 138,618.84 : x
  2. Step 2: Convert to fraction form
    65,386.13/138,618.84 = 138,618.84/x
  3. Step 3: Cross multiply
    65,386.13x = 138,618.84 × 138,618.84
  4. Step 4: Simplify right side
    65,386.13x = 19,215,183,842.59
  5. Step 5: Solve for x
    x = 19,215,183,842.59/65,386.13
  6. Step 6: Final answer
    x = 293,872.50

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.