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Finding the Third Proportional to 45,154.13 and 98,871.75

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Solution

The third proportional to 45,154.13 and 98,871.75 is: 216,494.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,154.13 : 98,871.75 = 98,871.75 : x
  2. Step 2: Convert to fraction form
    45,154.13/98,871.75 = 98,871.75/x
  3. Step 3: Cross multiply
    45,154.13x = 98,871.75 × 98,871.75
  4. Step 4: Simplify right side
    45,154.13x = 9,775,622,948.06
  5. Step 5: Solve for x
    x = 9,775,622,948.06/45,154.13
  6. Step 6: Final answer
    x = 216,494.57

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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.