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Finding the Third Proportional to 86,963.63 and 183,259.13

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Solution

The third proportional to 86,963.63 and 183,259.13 is: 386,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,963.63 : 183,259.13 = 183,259.13 : x
  2. Step 2: Convert to fraction form
    86,963.63/183,259.13 = 183,259.13/x
  3. Step 3: Cross multiply
    86,963.63x = 183,259.13 × 183,259.13
  4. Step 4: Simplify right side
    86,963.63x = 33,583,906,895.77
  5. Step 5: Solve for x
    x = 33,583,906,895.77/86,963.63
  6. Step 6: Final answer
    x = 386,183.38

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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.