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Finding the Third Proportional to 103,963.50 and 223,457.06

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Solution

The third proportional to 103,963.50 and 223,457.06 is: 480,294.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,963.50 : 223,457.06 = 223,457.06 : x
  2. Step 2: Convert to fraction form
    103,963.50/223,457.06 = 223,457.06/x
  3. Step 3: Cross multiply
    103,963.50x = 223,457.06 × 223,457.06
  4. Step 4: Simplify right side
    103,963.50x = 49,933,058,781.13
  5. Step 5: Solve for x
    x = 49,933,058,781.13/103,963.50
  6. Step 6: Final answer
    x = 480,294.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.