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Finding the Third Proportional to 46,472.91 and 100,326.94

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Solution

The third proportional to 46,472.91 and 100,326.94 is: 216,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,472.91 : 100,326.94 = 100,326.94 : x
  2. Step 2: Convert to fraction form
    46,472.91/100,326.94 = 100,326.94/x
  3. Step 3: Cross multiply
    46,472.91x = 100,326.94 × 100,326.94
  4. Step 4: Simplify right side
    46,472.91x = 10,065,494,388.13
  5. Step 5: Solve for x
    x = 10,065,494,388.13/46,472.91
  6. Step 6: Final answer
    x = 216,588.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.