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Finding the Third Proportional to 97,802 and 213,590

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Solution

The third proportional to 97,802 and 213,590 is: 466,459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,802 : 213,590 = 213,590 : x
  2. Step 2: Convert to fraction form
    97,802/213,590 = 213,590/x
  3. Step 3: Cross multiply
    97,802x = 213,590 × 213,590
  4. Step 4: Simplify right side
    97,802x = 45,620,688,100
  5. Step 5: Solve for x
    x = 45,620,688,100/97,802
  6. Step 6: Final answer
    x = 466,459.66

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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.