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Finding the Third Proportional to 97,943 and 211,438

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Solution

The third proportional to 97,943 and 211,438 is: 456,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,943 : 211,438 = 211,438 : x
  2. Step 2: Convert to fraction form
    97,943/211,438 = 211,438/x
  3. Step 3: Cross multiply
    97,943x = 211,438 × 211,438
  4. Step 4: Simplify right side
    97,943x = 44,706,027,844
  5. Step 5: Solve for x
    x = 44,706,027,844/97,943
  6. Step 6: Final answer
    x = 456,449.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.