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Finding the Third Proportional to 94,529 and 207,709

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Solution

The third proportional to 94,529 and 207,709 is: 456,399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,529 : 207,709 = 207,709 : x
  2. Step 2: Convert to fraction form
    94,529/207,709 = 207,709/x
  3. Step 3: Cross multiply
    94,529x = 207,709 × 207,709
  4. Step 4: Simplify right side
    94,529x = 43,143,028,681
  5. Step 5: Solve for x
    x = 43,143,028,681/94,529
  6. Step 6: Final answer
    x = 456,399.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.