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Finding the Third Proportional to 86,947 and 190,498

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Solution

The third proportional to 86,947 and 190,498 is: 417,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,947 : 190,498 = 190,498 : x
  2. Step 2: Convert to fraction form
    86,947/190,498 = 190,498/x
  3. Step 3: Cross multiply
    86,947x = 190,498 × 190,498
  4. Step 4: Simplify right side
    86,947x = 36,289,488,004
  5. Step 5: Solve for x
    x = 36,289,488,004/86,947
  6. Step 6: Final answer
    x = 417,374.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.