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Finding the Third Proportional to 97,902 and 211,356

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Solution

The third proportional to 97,902 and 211,356 is: 456,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902 : 211,356 = 211,356 : x
  2. Step 2: Convert to fraction form
    97,902/211,356 = 211,356/x
  3. Step 3: Cross multiply
    97,902x = 211,356 × 211,356
  4. Step 4: Simplify right side
    97,902x = 44,671,358,736
  5. Step 5: Solve for x
    x = 44,671,358,736/97,902
  6. Step 6: Final answer
    x = 456,286.48

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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.