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Finding the Third Proportional to 63,645.75 and 97,189.88

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Solution

The third proportional to 63,645.75 and 97,189.88 is: 148,413.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,645.75 : 97,189.88 = 97,189.88 : x
  2. Step 2: Convert to fraction form
    63,645.75/97,189.88 = 97,189.88/x
  3. Step 3: Cross multiply
    63,645.75x = 97,189.88 × 97,189.88
  4. Step 4: Simplify right side
    63,645.75x = 9,445,871,802.52
  5. Step 5: Solve for x
    x = 9,445,871,802.52/63,645.75
  6. Step 6: Final answer
    x = 148,413.24

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.