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Finding the Third Proportional to 97,614 and 213,905

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Solution

The third proportional to 97,614 and 213,905 is: 468,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,614 : 213,905 = 213,905 : x
  2. Step 2: Convert to fraction form
    97,614/213,905 = 213,905/x
  3. Step 3: Cross multiply
    97,614x = 213,905 × 213,905
  4. Step 4: Simplify right side
    97,614x = 45,755,349,025
  5. Step 5: Solve for x
    x = 45,755,349,025/97,614
  6. Step 6: Final answer
    x = 468,737.57

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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.