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Finding the Third Proportional to 97,886 and 211,324

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Solution

The third proportional to 97,886 and 211,324 is: 456,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,886 : 211,324 = 211,324 : x
  2. Step 2: Convert to fraction form
    97,886/211,324 = 211,324/x
  3. Step 3: Cross multiply
    97,886x = 211,324 × 211,324
  4. Step 4: Simplify right side
    97,886x = 44,657,832,976
  5. Step 5: Solve for x
    x = 44,657,832,976/97,886
  6. Step 6: Final answer
    x = 456,222.88

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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.