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Finding the Third Proportional to 45,235.13 and 96,700.50

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Solution

The third proportional to 45,235.13 and 96,700.50 is: 206,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,235.13 : 96,700.50 = 96,700.50 : x
  2. Step 2: Convert to fraction form
    45,235.13/96,700.50 = 96,700.50/x
  3. Step 3: Cross multiply
    45,235.13x = 96,700.50 × 96,700.50
  4. Step 4: Simplify right side
    45,235.13x = 9,350,986,700.25
  5. Step 5: Solve for x
    x = 9,350,986,700.25/45,235.13
  6. Step 6: Final answer
    x = 206,719.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.