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Finding the Third Proportional to 97,460 and 213,144

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Solution

The third proportional to 97,460 and 213,144 is: 466,143.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460 : 213,144 = 213,144 : x
  2. Step 2: Convert to fraction form
    97,460/213,144 = 213,144/x
  3. Step 3: Cross multiply
    97,460x = 213,144 × 213,144
  4. Step 4: Simplify right side
    97,460x = 45,430,364,736
  5. Step 5: Solve for x
    x = 45,430,364,736/97,460
  6. Step 6: Final answer
    x = 466,143.70

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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.