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Finding the Third Proportional to 97,904 and 211,846

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Solution

The third proportional to 97,904 and 211,846 is: 458,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,904 : 211,846 = 211,846 : x
  2. Step 2: Convert to fraction form
    97,904/211,846 = 211,846/x
  3. Step 3: Cross multiply
    97,904x = 211,846 × 211,846
  4. Step 4: Simplify right side
    97,904x = 44,878,727,716
  5. Step 5: Solve for x
    x = 44,878,727,716/97,904
  6. Step 6: Final answer
    x = 458,395.24

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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.