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Finding the Third Proportional to 73,118,193 and 107,438,340

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Solution

The third proportional to 73,118,193 and 107,438,340 is: 157,867,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,118,193 : 107,438,340 = 107,438,340 : x
  2. Step 2: Convert to fraction form
    73,118,193/107,438,340 = 107,438,340/x
  3. Step 3: Cross multiply
    73,118,193x = 107,438,340 × 107,438,340
  4. Step 4: Simplify right side
    73,118,193x = 11,542,996,901,955,600
  5. Step 5: Solve for x
    x = 11,542,996,901,955,600/73,118,193
  6. Step 6: Final answer
    x = 157,867,644.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.