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Finding the Third Proportional to 46,120.64 and 99,318.66

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Solution

The third proportional to 46,120.64 and 99,318.66 is: 213,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,120.64 : 99,318.66 = 99,318.66 : x
  2. Step 2: Convert to fraction form
    46,120.64/99,318.66 = 99,318.66/x
  3. Step 3: Cross multiply
    46,120.64x = 99,318.66 × 99,318.66
  4. Step 4: Simplify right side
    46,120.64x = 9,864,195,479.31
  5. Step 5: Solve for x
    x = 9,864,195,479.31/46,120.64
  6. Step 6: Final answer
    x = 213,878.11

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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.