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Finding the Third Proportional to 105,099 and 230,637

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Solution

The third proportional to 105,099 and 230,637 is: 506,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,099 : 230,637 = 230,637 : x
  2. Step 2: Convert to fraction form
    105,099/230,637 = 230,637/x
  3. Step 3: Cross multiply
    105,099x = 230,637 × 230,637
  4. Step 4: Simplify right side
    105,099x = 53,193,425,769
  5. Step 5: Solve for x
    x = 53,193,425,769/105,099
  6. Step 6: Final answer
    x = 506,126.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.