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Finding the Third Proportional to 86,357.81 and 185,837.63

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Solution

The third proportional to 86,357.81 and 185,837.63 is: 399,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,357.81 : 185,837.63 = 185,837.63 : x
  2. Step 2: Convert to fraction form
    86,357.81/185,837.63 = 185,837.63/x
  3. Step 3: Cross multiply
    86,357.81x = 185,837.63 × 185,837.63
  4. Step 4: Simplify right side
    86,357.81x = 34,535,622,865.64
  5. Step 5: Solve for x
    x = 34,535,622,865.64/86,357.81
  6. Step 6: Final answer
    x = 399,913.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.