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Finding the Third Proportional to 86,905.41 and 183,152.81

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Solution

The third proportional to 86,905.41 and 183,152.81 is: 385,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,905.41 : 183,152.81 = 183,152.81 : x
  2. Step 2: Convert to fraction form
    86,905.41/183,152.81 = 183,152.81/x
  3. Step 3: Cross multiply
    86,905.41x = 183,152.81 × 183,152.81
  4. Step 4: Simplify right side
    86,905.41x = 33,544,952,726.66
  5. Step 5: Solve for x
    x = 33,544,952,726.66/86,905.41
  6. Step 6: Final answer
    x = 385,993.85

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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.