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Finding the Third Proportional to 86,941.69 and 185,365.13

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Solution

The third proportional to 86,941.69 and 185,365.13 is: 395,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,941.69 : 185,365.13 = 185,365.13 : x
  2. Step 2: Convert to fraction form
    86,941.69/185,365.13 = 185,365.13/x
  3. Step 3: Cross multiply
    86,941.69x = 185,365.13 × 185,365.13
  4. Step 4: Simplify right side
    86,941.69x = 34,360,229,566.27
  5. Step 5: Solve for x
    x = 34,360,229,566.27/86,941.69
  6. Step 6: Final answer
    x = 395,210.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.