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Finding the Third Proportional to 40,505.06 and 83,600.44

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Solution

The third proportional to 40,505.06 and 83,600.44 is: 172,547.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,505.06 : 83,600.44 = 83,600.44 : x
  2. Step 2: Convert to fraction form
    40,505.06/83,600.44 = 83,600.44/x
  3. Step 3: Cross multiply
    40,505.06x = 83,600.44 × 83,600.44
  4. Step 4: Simplify right side
    40,505.06x = 6,989,033,150.19
  5. Step 5: Solve for x
    x = 6,989,033,150.19/40,505.06
  6. Step 6: Final answer
    x = 172,547.15

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.