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Finding the Third Proportional to 65,458.13 and 99,516.09

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Solution

The third proportional to 65,458.13 and 99,516.09 is: 151,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,458.13 : 99,516.09 = 99,516.09 : x
  2. Step 2: Convert to fraction form
    65,458.13/99,516.09 = 99,516.09/x
  3. Step 3: Cross multiply
    65,458.13x = 99,516.09 × 99,516.09
  4. Step 4: Simplify right side
    65,458.13x = 9,903,452,915.26
  5. Step 5: Solve for x
    x = 9,903,452,915.26/65,458.13
  6. Step 6: Final answer
    x = 151,294.48

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.