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Finding the Third Proportional to 46,324.13 and 94,663.13

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Solution

The third proportional to 46,324.13 and 94,663.13 is: 193,443.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,324.13 : 94,663.13 = 94,663.13 : x
  2. Step 2: Convert to fraction form
    46,324.13/94,663.13 = 94,663.13/x
  3. Step 3: Cross multiply
    46,324.13x = 94,663.13 × 94,663.13
  4. Step 4: Simplify right side
    46,324.13x = 8,961,107,234.77
  5. Step 5: Solve for x
    x = 8,961,107,234.77/46,324.13
  6. Step 6: Final answer
    x = 193,443.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.