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Finding the Third Proportional to 106,382.95 and 230,495.20

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Solution

The third proportional to 106,382.95 and 230,495.20 is: 499,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,382.95 : 230,495.20 = 230,495.20 : x
  2. Step 2: Convert to fraction form
    106,382.95/230,495.20 = 230,495.20/x
  3. Step 3: Cross multiply
    106,382.95x = 230,495.20 × 230,495.20
  4. Step 4: Simplify right side
    106,382.95x = 53,128,038,663.64
  5. Step 5: Solve for x
    x = 53,128,038,663.64/106,382.95
  6. Step 6: Final answer
    x = 499,403.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.