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Finding the Third Proportional to 97,902 and 211,842

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Solution

The third proportional to 97,902 and 211,842 is: 458,387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,902 : 211,842 = 211,842 : x
  2. Step 2: Convert to fraction form
    97,902/211,842 = 211,842/x
  3. Step 3: Cross multiply
    97,902x = 211,842 × 211,842
  4. Step 4: Simplify right side
    97,902x = 44,877,032,964
  5. Step 5: Solve for x
    x = 44,877,032,964/97,902
  6. Step 6: Final answer
    x = 458,387.30

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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.