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Finding the Third Proportional to 38,941,034.50 and 85,115,571.50

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Solution

The third proportional to 38,941,034.50 and 85,115,571.50 is: 186,041,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,941,034.50 : 85,115,571.50 = 85,115,571.50 : x
  2. Step 2: Convert to fraction form
    38,941,034.50/85,115,571.50 = 85,115,571.50/x
  3. Step 3: Cross multiply
    38,941,034.50x = 85,115,571.50 × 85,115,571.50
  4. Step 4: Simplify right side
    38,941,034.50x = 7,244,660,511,771,612
  5. Step 5: Solve for x
    x = 7,244,660,511,771,612/38,941,034.50
  6. Step 6: Final answer
    x = 186,041,809.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.