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Finding the Third Proportional to 95,515.50 and 205,126.50

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Solution

The third proportional to 95,515.50 and 205,126.50 is: 440,524.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,515.50 : 205,126.50 = 205,126.50 : x
  2. Step 2: Convert to fraction form
    95,515.50/205,126.50 = 205,126.50/x
  3. Step 3: Cross multiply
    95,515.50x = 205,126.50 × 205,126.50
  4. Step 4: Simplify right side
    95,515.50x = 42,076,881,002.25
  5. Step 5: Solve for x
    x = 42,076,881,002.25/95,515.50
  6. Step 6: Final answer
    x = 440,524.11

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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.