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Finding the Third Proportional to 97,466 and 213,545

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Solution

The third proportional to 97,466 and 213,545 is: 467,870.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,466 : 213,545 = 213,545 : x
  2. Step 2: Convert to fraction form
    97,466/213,545 = 213,545/x
  3. Step 3: Cross multiply
    97,466x = 213,545 × 213,545
  4. Step 4: Simplify right side
    97,466x = 45,601,467,025
  5. Step 5: Solve for x
    x = 45,601,467,025/97,466
  6. Step 6: Final answer
    x = 467,870.51

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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.