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Finding the Third Proportional to 99,830 and 214,348

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Solution

The third proportional to 99,830 and 214,348 is: 460,233.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,830 : 214,348 = 214,348 : x
  2. Step 2: Convert to fraction form
    99,830/214,348 = 214,348/x
  3. Step 3: Cross multiply
    99,830x = 214,348 × 214,348
  4. Step 4: Simplify right side
    99,830x = 45,945,065,104
  5. Step 5: Solve for x
    x = 45,945,065,104/99,830
  6. Step 6: Final answer
    x = 460,233.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.