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Finding the Third Proportional to 97,672.50 and 207,339.75

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Solution

The third proportional to 97,672.50 and 207,339.75 is: 440,142.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672.50 : 207,339.75 = 207,339.75 : x
  2. Step 2: Convert to fraction form
    97,672.50/207,339.75 = 207,339.75/x
  3. Step 3: Cross multiply
    97,672.50x = 207,339.75 × 207,339.75
  4. Step 4: Simplify right side
    97,672.50x = 42,989,771,930.06
  5. Step 5: Solve for x
    x = 42,989,771,930.06/97,672.50
  6. Step 6: Final answer
    x = 440,142.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.