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Finding the Third Proportional to 103,534.50 and 221,824.50

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Solution

The third proportional to 103,534.50 and 221,824.50 is: 475,262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,534.50 : 221,824.50 = 221,824.50 : x
  2. Step 2: Convert to fraction form
    103,534.50/221,824.50 = 221,824.50/x
  3. Step 3: Cross multiply
    103,534.50x = 221,824.50 × 221,824.50
  4. Step 4: Simplify right side
    103,534.50x = 49,206,108,800.25
  5. Step 5: Solve for x
    x = 49,206,108,800.25/103,534.50
  6. Step 6: Final answer
    x = 475,262.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.