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Finding the Third Proportional to 105,552 and 215,401.50

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Solution

The third proportional to 105,552 and 215,401.50 is: 439,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,552 : 215,401.50 = 215,401.50 : x
  2. Step 2: Convert to fraction form
    105,552/215,401.50 = 215,401.50/x
  3. Step 3: Cross multiply
    105,552x = 215,401.50 × 215,401.50
  4. Step 4: Simplify right side
    105,552x = 46,397,806,202.25
  5. Step 5: Solve for x
    x = 46,397,806,202.25/105,552
  6. Step 6: Final answer
    x = 439,572.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.