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Finding the Third Proportional to 99,905 and 214,060

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Solution

The third proportional to 99,905 and 214,060 is: 458,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,905 : 214,060 = 214,060 : x
  2. Step 2: Convert to fraction form
    99,905/214,060 = 214,060/x
  3. Step 3: Cross multiply
    99,905x = 214,060 × 214,060
  4. Step 4: Simplify right side
    99,905x = 45,821,683,600
  5. Step 5: Solve for x
    x = 45,821,683,600/99,905
  6. Step 6: Final answer
    x = 458,652.56

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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.