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Finding the Third Proportional to 97,384 and 211,376

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Solution

The third proportional to 97,384 and 211,376 is: 458,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,384 : 211,376 = 211,376 : x
  2. Step 2: Convert to fraction form
    97,384/211,376 = 211,376/x
  3. Step 3: Cross multiply
    97,384x = 211,376 × 211,376
  4. Step 4: Simplify right side
    97,384x = 44,679,813,376
  5. Step 5: Solve for x
    x = 44,679,813,376/97,384
  6. Step 6: Final answer
    x = 458,800.35

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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.