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Finding the Third Proportional to 109,463.91 and 235,785.94

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Solution

The third proportional to 109,463.91 and 235,785.94 is: 507,884.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,463.91 : 235,785.94 = 235,785.94 : x
  2. Step 2: Convert to fraction form
    109,463.91/235,785.94 = 235,785.94/x
  3. Step 3: Cross multiply
    109,463.91x = 235,785.94 × 235,785.94
  4. Step 4: Simplify right side
    109,463.91x = 55,595,008,322.75
  5. Step 5: Solve for x
    x = 55,595,008,322.75/109,463.91
  6. Step 6: Final answer
    x = 507,884.38

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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.