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Finding the Third Proportional to 86,866.50 and 190,341

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Solution

The third proportional to 86,866.50 and 190,341 is: 417,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,866.50 : 190,341 = 190,341 : x
  2. Step 2: Convert to fraction form
    86,866.50/190,341 = 190,341/x
  3. Step 3: Cross multiply
    86,866.50x = 190,341 × 190,341
  4. Step 4: Simplify right side
    86,866.50x = 36,229,696,281
  5. Step 5: Solve for x
    x = 36,229,696,281/86,866.50
  6. Step 6: Final answer
    x = 417,073.28

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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.