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Finding the Third Proportional to 106,385.63 and 230,500.13

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Solution

The third proportional to 106,385.63 and 230,500.13 is: 499,412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,385.63 : 230,500.13 = 230,500.13 : x
  2. Step 2: Convert to fraction form
    106,385.63/230,500.13 = 230,500.13/x
  3. Step 3: Cross multiply
    106,385.63x = 230,500.13 × 230,500.13
  4. Step 4: Simplify right side
    106,385.63x = 53,130,307,625.02
  5. Step 5: Solve for x
    x = 53,130,307,625.02/106,385.63
  6. Step 6: Final answer
    x = 499,412.47

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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.