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Finding the Third Proportional to 99,918 and 214,047

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Solution

The third proportional to 99,918 and 214,047 is: 458,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918 : 214,047 = 214,047 : x
  2. Step 2: Convert to fraction form
    99,918/214,047 = 214,047/x
  3. Step 3: Cross multiply
    99,918x = 214,047 × 214,047
  4. Step 4: Simplify right side
    99,918x = 45,816,118,209
  5. Step 5: Solve for x
    x = 45,816,118,209/99,918
  6. Step 6: Final answer
    x = 458,537.18

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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.