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Finding the Third Proportional to 97,924 and 201,644

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Solution

The third proportional to 97,924 and 201,644 is: 415,223.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,924 : 201,644 = 201,644 : x
  2. Step 2: Convert to fraction form
    97,924/201,644 = 201,644/x
  3. Step 3: Cross multiply
    97,924x = 201,644 × 201,644
  4. Step 4: Simplify right side
    97,924x = 40,660,302,736
  5. Step 5: Solve for x
    x = 40,660,302,736/97,924
  6. Step 6: Final answer
    x = 415,223.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.