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Finding the Third Proportional to 95,251.50 and 205,285.50

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Solution

The third proportional to 95,251.50 and 205,285.50 is: 442,430.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,251.50 : 205,285.50 = 205,285.50 : x
  2. Step 2: Convert to fraction form
    95,251.50/205,285.50 = 205,285.50/x
  3. Step 3: Cross multiply
    95,251.50x = 205,285.50 × 205,285.50
  4. Step 4: Simplify right side
    95,251.50x = 42,142,136,510.25
  5. Step 5: Solve for x
    x = 42,142,136,510.25/95,251.50
  6. Step 6: Final answer
    x = 442,430.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.