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Finding the Third Proportional to 63,407.81 and 97,496.16

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Solution

The third proportional to 63,407.81 and 97,496.16 is: 149,910.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,407.81 : 97,496.16 = 97,496.16 : x
  2. Step 2: Convert to fraction form
    63,407.81/97,496.16 = 97,496.16/x
  3. Step 3: Cross multiply
    63,407.81x = 97,496.16 × 97,496.16
  4. Step 4: Simplify right side
    63,407.81x = 9,505,500,483.52
  5. Step 5: Solve for x
    x = 9,505,500,483.52/63,407.81
  6. Step 6: Final answer
    x = 149,910.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.