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Finding the Third Proportional to 103,903.88 and 224,386.88

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Solution

The third proportional to 103,903.88 and 224,386.88 is: 484,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,903.88 : 224,386.88 = 224,386.88 : x
  2. Step 2: Convert to fraction form
    103,903.88/224,386.88 = 224,386.88/x
  3. Step 3: Cross multiply
    103,903.88x = 224,386.88 × 224,386.88
  4. Step 4: Simplify right side
    103,903.88x = 50,349,469,672.27
  5. Step 5: Solve for x
    x = 50,349,469,672.27/103,903.88
  6. Step 6: Final answer
    x = 484,577.40

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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.