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Finding the Third Proportional to 97,460 and 211,432

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Solution

The third proportional to 97,460 and 211,432 is: 458,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,460 : 211,432 = 211,432 : x
  2. Step 2: Convert to fraction form
    97,460/211,432 = 211,432/x
  3. Step 3: Cross multiply
    97,460x = 211,432 × 211,432
  4. Step 4: Simplify right side
    97,460x = 44,703,490,624
  5. Step 5: Solve for x
    x = 44,703,490,624/97,460
  6. Step 6: Final answer
    x = 458,685.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.