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Finding the Third Proportional to 103,891 and 223,812.50

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Solution

The third proportional to 103,891 and 223,812.50 is: 482,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,891 : 223,812.50 = 223,812.50 : x
  2. Step 2: Convert to fraction form
    103,891/223,812.50 = 223,812.50/x
  3. Step 3: Cross multiply
    103,891x = 223,812.50 × 223,812.50
  4. Step 4: Simplify right side
    103,891x = 50,092,035,156.25
  5. Step 5: Solve for x
    x = 50,092,035,156.25/103,891
  6. Step 6: Final answer
    x = 482,159.52

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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.