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Finding the Third Proportional to 97,601.63 and 212,517

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Solution

The third proportional to 97,601.63 and 212,517 is: 462,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,601.63 : 212,517 = 212,517 : x
  2. Step 2: Convert to fraction form
    97,601.63/212,517 = 212,517/x
  3. Step 3: Cross multiply
    97,601.63x = 212,517 × 212,517
  4. Step 4: Simplify right side
    97,601.63x = 45,163,475,289
  5. Step 5: Solve for x
    x = 45,163,475,289/97,601.63
  6. Step 6: Final answer
    x = 462,732.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.