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Finding the Third Proportional to 95,962.50 and 202,999.50

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Solution

The third proportional to 95,962.50 and 202,999.50 is: 429,426.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,962.50 : 202,999.50 = 202,999.50 : x
  2. Step 2: Convert to fraction form
    95,962.50/202,999.50 = 202,999.50/x
  3. Step 3: Cross multiply
    95,962.50x = 202,999.50 × 202,999.50
  4. Step 4: Simplify right side
    95,962.50x = 41,208,797,000.25
  5. Step 5: Solve for x
    x = 41,208,797,000.25/95,962.50
  6. Step 6: Final answer
    x = 429,426.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.