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Finding the Third Proportional to 103,937.25 and 224,506.63

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Solution

The third proportional to 103,937.25 and 224,506.63 is: 484,938.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,937.25 : 224,506.63 = 224,506.63 : x
  2. Step 2: Convert to fraction form
    103,937.25/224,506.63 = 224,506.63/x
  3. Step 3: Cross multiply
    103,937.25x = 224,506.63 × 224,506.63
  4. Step 4: Simplify right side
    103,937.25x = 50,403,224,668.89
  5. Step 5: Solve for x
    x = 50,403,224,668.89/103,937.25
  6. Step 6: Final answer
    x = 484,938.99

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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.