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Finding the Third Proportional to 98,673.50 and 207,662.17

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Solution

The third proportional to 98,673.50 and 207,662.17 is: 437,032.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,673.50 : 207,662.17 = 207,662.17 : x
  2. Step 2: Convert to fraction form
    98,673.50/207,662.17 = 207,662.17/x
  3. Step 3: Cross multiply
    98,673.50x = 207,662.17 × 207,662.17
  4. Step 4: Simplify right side
    98,673.50x = 43,123,576,005.48
  5. Step 5: Solve for x
    x = 43,123,576,005.48/98,673.50
  6. Step 6: Final answer
    x = 437,032.99

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.