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Finding the Third Proportional to 44,730.56 and 96,467.06

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Solution

The third proportional to 44,730.56 and 96,467.06 is: 208,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730.56 : 96,467.06 = 96,467.06 : x
  2. Step 2: Convert to fraction form
    44,730.56/96,467.06 = 96,467.06/x
  3. Step 3: Cross multiply
    44,730.56x = 96,467.06 × 96,467.06
  4. Step 4: Simplify right side
    44,730.56x = 9,305,894,147.38
  5. Step 5: Solve for x
    x = 9,305,894,147.38/44,730.56
  6. Step 6: Final answer
    x = 208,043.31

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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.