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Finding the Third Proportional to 65,200.88 and 111,462.38

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Solution

The third proportional to 65,200.88 and 111,462.38 is: 190,547.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,200.88 : 111,462.38 = 111,462.38 : x
  2. Step 2: Convert to fraction form
    65,200.88/111,462.38 = 111,462.38/x
  3. Step 3: Cross multiply
    65,200.88x = 111,462.38 × 111,462.38
  4. Step 4: Simplify right side
    65,200.88x = 12,423,861,040.64
  5. Step 5: Solve for x
    x = 12,423,861,040.64/65,200.88
  6. Step 6: Final answer
    x = 190,547.46

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These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.