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Finding the Third Proportional to 99,898.31 and 214,012.13

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Solution

The third proportional to 99,898.31 and 214,012.13 is: 458,478.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,898.31 : 214,012.13 = 214,012.13 : x
  2. Step 2: Convert to fraction form
    99,898.31/214,012.13 = 214,012.13/x
  3. Step 3: Cross multiply
    99,898.31x = 214,012.13 × 214,012.13
  4. Step 4: Simplify right side
    99,898.31x = 45,801,189,647.02
  5. Step 5: Solve for x
    x = 45,801,189,647.02/99,898.31
  6. Step 6: Final answer
    x = 458,478.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.