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Finding the Third Proportional to 128,216 and 199,045

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Solution

The third proportional to 128,216 and 199,045 is: 309,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,216 : 199,045 = 199,045 : x
  2. Step 2: Convert to fraction form
    128,216/199,045 = 199,045/x
  3. Step 3: Cross multiply
    128,216x = 199,045 × 199,045
  4. Step 4: Simplify right side
    128,216x = 39,618,912,025
  5. Step 5: Solve for x
    x = 39,618,912,025/128,216
  6. Step 6: Final answer
    x = 309,001.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.