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Finding the Third Proportional to 86,894 and 183,640

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Solution

The third proportional to 86,894 and 183,640 is: 388,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,894 : 183,640 = 183,640 : x
  2. Step 2: Convert to fraction form
    86,894/183,640 = 183,640/x
  3. Step 3: Cross multiply
    86,894x = 183,640 × 183,640
  4. Step 4: Simplify right side
    86,894x = 33,723,649,600
  5. Step 5: Solve for x
    x = 33,723,649,600/86,894
  6. Step 6: Final answer
    x = 388,101.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.