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Finding the Third Proportional to 85,465.13 and 185,509.13

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Solution

The third proportional to 85,465.13 and 185,509.13 is: 402,662.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,465.13 : 185,509.13 = 185,509.13 : x
  2. Step 2: Convert to fraction form
    85,465.13/185,509.13 = 185,509.13/x
  3. Step 3: Cross multiply
    85,465.13x = 185,509.13 × 185,509.13
  4. Step 4: Simplify right side
    85,465.13x = 34,413,635,458.27
  5. Step 5: Solve for x
    x = 34,413,635,458.27/85,465.13
  6. Step 6: Final answer
    x = 402,662.90

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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.