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Finding the Third Proportional to 44,744.63 and 96,495.19

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Solution

The third proportional to 44,744.63 and 96,495.19 is: 208,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,744.63 : 96,495.19 = 96,495.19 : x
  2. Step 2: Convert to fraction form
    44,744.63/96,495.19 = 96,495.19/x
  3. Step 3: Cross multiply
    44,744.63x = 96,495.19 × 96,495.19
  4. Step 4: Simplify right side
    44,744.63x = 9,311,321,210.66
  5. Step 5: Solve for x
    x = 9,311,321,210.66/44,744.63
  6. Step 6: Final answer
    x = 208,099.21

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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.