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Finding the Third Proportional to 96,598.13 and 207,478.13

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Solution

The third proportional to 96,598.13 and 207,478.13 is: 445,631.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,598.13 : 207,478.13 = 207,478.13 : x
  2. Step 2: Convert to fraction form
    96,598.13/207,478.13 = 207,478.13/x
  3. Step 3: Cross multiply
    96,598.13x = 207,478.13 × 207,478.13
  4. Step 4: Simplify right side
    96,598.13x = 43,047,172,353.52
  5. Step 5: Solve for x
    x = 43,047,172,353.52/96,598.13
  6. Step 6: Final answer
    x = 445,631.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.