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Finding the Third Proportional to 103,897.13 and 223,686

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Solution

The third proportional to 103,897.13 and 223,686 is: 481,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,897.13 : 223,686 = 223,686 : x
  2. Step 2: Convert to fraction form
    103,897.13/223,686 = 223,686/x
  3. Step 3: Cross multiply
    103,897.13x = 223,686 × 223,686
  4. Step 4: Simplify right side
    103,897.13x = 50,035,426,596
  5. Step 5: Solve for x
    x = 50,035,426,596/103,897.13
  6. Step 6: Final answer
    x = 481,586.25

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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.