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Finding the Third Proportional to 99,124.50 and 214,377

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Solution

The third proportional to 99,124.50 and 214,377 is: 463,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,124.50 : 214,377 = 214,377 : x
  2. Step 2: Convert to fraction form
    99,124.50/214,377 = 214,377/x
  3. Step 3: Cross multiply
    99,124.50x = 214,377 × 214,377
  4. Step 4: Simplify right side
    99,124.50x = 45,957,498,129
  5. Step 5: Solve for x
    x = 45,957,498,129/99,124.50
  6. Step 6: Final answer
    x = 463,634.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.