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Finding the Third Proportional to 103,937 and 224,506.13

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Solution

The third proportional to 103,937 and 224,506.13 is: 484,937.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,937 : 224,506.13 = 224,506.13 : x
  2. Step 2: Convert to fraction form
    103,937/224,506.13 = 224,506.13/x
  3. Step 3: Cross multiply
    103,937x = 224,506.13 × 224,506.13
  4. Step 4: Simplify right side
    103,937x = 50,403,000,162.52
  5. Step 5: Solve for x
    x = 50,403,000,162.52/103,937
  6. Step 6: Final answer
    x = 484,937.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.