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Finding the Third Proportional to 97,875 and 213,246

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Solution

The third proportional to 97,875 and 213,246 is: 464,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,875 : 213,246 = 213,246 : x
  2. Step 2: Convert to fraction form
    97,875/213,246 = 213,246/x
  3. Step 3: Cross multiply
    97,875x = 213,246 × 213,246
  4. Step 4: Simplify right side
    97,875x = 45,473,856,516
  5. Step 5: Solve for x
    x = 45,473,856,516/97,875
  6. Step 6: Final answer
    x = 464,611.56

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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.