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Finding the Third Proportional to 95,520 and 205,135.50

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Solution

The third proportional to 95,520 and 205,135.50 is: 440,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,520 : 205,135.50 = 205,135.50 : x
  2. Step 2: Convert to fraction form
    95,520/205,135.50 = 205,135.50/x
  3. Step 3: Cross multiply
    95,520x = 205,135.50 × 205,135.50
  4. Step 4: Simplify right side
    95,520x = 42,080,573,360.25
  5. Step 5: Solve for x
    x = 42,080,573,360.25/95,520
  6. Step 6: Final answer
    x = 440,542.02

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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.