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Finding the Third Proportional to 86,869.97 and 190,347.47

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Solution

The third proportional to 86,869.97 and 190,347.47 is: 417,084.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,869.97 : 190,347.47 = 190,347.47 : x
  2. Step 2: Convert to fraction form
    86,869.97/190,347.47 = 190,347.47/x
  3. Step 3: Cross multiply
    86,869.97x = 190,347.47 × 190,347.47
  4. Step 4: Simplify right side
    86,869.97x = 36,232,158,859.53
  5. Step 5: Solve for x
    x = 36,232,158,859.53/86,869.97
  6. Step 6: Final answer
    x = 417,084.98

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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.