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Finding the Third Proportional to 51,542,203.50 and 72,097,458.75

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Solution

The third proportional to 51,542,203.50 and 72,097,458.75 is: 100,850,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,542,203.50 : 72,097,458.75 = 72,097,458.75 : x
  2. Step 2: Convert to fraction form
    51,542,203.50/72,097,458.75 = 72,097,458.75/x
  3. Step 3: Cross multiply
    51,542,203.50x = 72,097,458.75 × 72,097,458.75
  4. Step 4: Simplify right side
    51,542,203.50x = 5,198,043,558,207,952
  5. Step 5: Solve for x
    x = 5,198,043,558,207,952/51,542,203.50
  6. Step 6: Final answer
    x = 100,850,239.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.