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Finding the Third Proportional to 45,830 and 99,434

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Solution

The third proportional to 45,830 and 99,434 is: 215,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,830 : 99,434 = 99,434 : x
  2. Step 2: Convert to fraction form
    45,830/99,434 = 99,434/x
  3. Step 3: Cross multiply
    45,830x = 99,434 × 99,434
  4. Step 4: Simplify right side
    45,830x = 9,887,120,356
  5. Step 5: Solve for x
    x = 9,887,120,356/45,830
  6. Step 6: Final answer
    x = 215,734.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.