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Finding the Third Proportional to 104,867,307 and 157,738,782

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Solution

The third proportional to 104,867,307 and 157,738,782 is: 237,266,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,867,307 : 157,738,782 = 157,738,782 : x
  2. Step 2: Convert to fraction form
    104,867,307/157,738,782 = 157,738,782/x
  3. Step 3: Cross multiply
    104,867,307x = 157,738,782 × 157,738,782
  4. Step 4: Simplify right side
    104,867,307x = 24,881,523,346,843,524
  5. Step 5: Solve for x
    x = 24,881,523,346,843,524/104,867,307
  6. Step 6: Final answer
    x = 237,266,733.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.