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Finding the Third Proportional to 46,767.38 and 99,376.88

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Solution

The third proportional to 46,767.38 and 99,376.88 is: 211,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,767.38 : 99,376.88 = 99,376.88 : x
  2. Step 2: Convert to fraction form
    46,767.38/99,376.88 = 99,376.88/x
  3. Step 3: Cross multiply
    46,767.38x = 99,376.88 × 99,376.88
  4. Step 4: Simplify right side
    46,767.38x = 9,875,763,284.77
  5. Step 5: Solve for x
    x = 9,875,763,284.77/46,767.38
  6. Step 6: Final answer
    x = 211,167.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.