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Finding the Third Proportional to 38,252,920.50 and 82,550,891.25

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Solution

The third proportional to 38,252,920.50 and 82,550,891.25 is: 178,147,173.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,252,920.50 : 82,550,891.25 = 82,550,891.25 : x
  2. Step 2: Convert to fraction form
    38,252,920.50/82,550,891.25 = 82,550,891.25/x
  3. Step 3: Cross multiply
    38,252,920.50x = 82,550,891.25 × 82,550,891.25
  4. Step 4: Simplify right side
    38,252,920.50x = 6,814,649,646,169,327
  5. Step 5: Solve for x
    x = 6,814,649,646,169,327/38,252,920.50
  6. Step 6: Final answer
    x = 178,147,173.00

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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.