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Finding the Third Proportional to 97,922 and 201,640

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Solution

The third proportional to 97,922 and 201,640 is: 415,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,922 : 201,640 = 201,640 : x
  2. Step 2: Convert to fraction form
    97,922/201,640 = 201,640/x
  3. Step 3: Cross multiply
    97,922x = 201,640 × 201,640
  4. Step 4: Simplify right side
    97,922x = 40,658,689,600
  5. Step 5: Solve for x
    x = 40,658,689,600/97,922
  6. Step 6: Final answer
    x = 415,215.07

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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.