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Finding the Third Proportional to 38,028,229.50 and 83,025,052.50

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Solution

The third proportional to 38,028,229.50 and 83,025,052.50 is: 181,264,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,028,229.50 : 83,025,052.50 = 83,025,052.50 : x
  2. Step 2: Convert to fraction form
    38,028,229.50/83,025,052.50 = 83,025,052.50/x
  3. Step 3: Cross multiply
    38,028,229.50x = 83,025,052.50 × 83,025,052.50
  4. Step 4: Simplify right side
    38,028,229.50x = 6,893,159,342,627,756
  5. Step 5: Solve for x
    x = 6,893,159,342,627,756/38,028,229.50
  6. Step 6: Final answer
    x = 181,264,272.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.