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Finding the Third Proportional to 106,897.50 and 225,810

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Solution

The third proportional to 106,897.50 and 225,810 is: 477,000.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,897.50 : 225,810 = 225,810 : x
  2. Step 2: Convert to fraction form
    106,897.50/225,810 = 225,810/x
  3. Step 3: Cross multiply
    106,897.50x = 225,810 × 225,810
  4. Step 4: Simplify right side
    106,897.50x = 50,990,156,100
  5. Step 5: Solve for x
    x = 50,990,156,100/106,897.50
  6. Step 6: Final answer
    x = 477,000.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.