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Finding the Third Proportional to 103,621.78 and 226,972.13

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Solution

The third proportional to 103,621.78 and 226,972.13 is: 497,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,621.78 : 226,972.13 = 226,972.13 : x
  2. Step 2: Convert to fraction form
    103,621.78/226,972.13 = 226,972.13/x
  3. Step 3: Cross multiply
    103,621.78x = 226,972.13 × 226,972.13
  4. Step 4: Simplify right side
    103,621.78x = 51,516,345,527.02
  5. Step 5: Solve for x
    x = 51,516,345,527.02/103,621.78
  6. Step 6: Final answer
    x = 497,157.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.