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Finding the Third Proportional to 103,873.96 and 224,355.45

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Solution

The third proportional to 103,873.96 and 224,355.45 is: 484,581.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,873.96 : 224,355.45 = 224,355.45 : x
  2. Step 2: Convert to fraction form
    103,873.96/224,355.45 = 224,355.45/x
  3. Step 3: Cross multiply
    103,873.96x = 224,355.45 × 224,355.45
  4. Step 4: Simplify right side
    103,873.96x = 50,335,365,841.37
  5. Step 5: Solve for x
    x = 50,335,365,841.37/103,873.96
  6. Step 6: Final answer
    x = 484,581.19

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Why These Related Problems?

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