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Finding the Third Proportional to 99,897 and 214,008

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Solution

The third proportional to 99,897 and 214,008 is: 458,466.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,897 : 214,008 = 214,008 : x
  2. Step 2: Convert to fraction form
    99,897/214,008 = 214,008/x
  3. Step 3: Cross multiply
    99,897x = 214,008 × 214,008
  4. Step 4: Simplify right side
    99,897x = 45,799,424,064
  5. Step 5: Solve for x
    x = 45,799,424,064/99,897
  6. Step 6: Final answer
    x = 458,466.46

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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.