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Finding the Third Proportional to 195,556.50 and 201,070.13

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Solution

The third proportional to 195,556.50 and 201,070.13 is: 206,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,556.50 : 201,070.13 = 201,070.13 : x
  2. Step 2: Convert to fraction form
    195,556.50/201,070.13 = 201,070.13/x
  3. Step 3: Cross multiply
    195,556.50x = 201,070.13 × 201,070.13
  4. Step 4: Simplify right side
    195,556.50x = 40,429,195,167.52
  5. Step 5: Solve for x
    x = 40,429,195,167.52/195,556.50
  6. Step 6: Final answer
    x = 206,739.20

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.