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Finding the Third Proportional to 97,098 and 207,687.75

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Solution

The third proportional to 97,098 and 207,687.75 is: 444,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098 : 207,687.75 = 207,687.75 : x
  2. Step 2: Convert to fraction form
    97,098/207,687.75 = 207,687.75/x
  3. Step 3: Cross multiply
    97,098x = 207,687.75 × 207,687.75
  4. Step 4: Simplify right side
    97,098x = 43,134,201,500.06
  5. Step 5: Solve for x
    x = 43,134,201,500.06/97,098
  6. Step 6: Final answer
    x = 444,233.68

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