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Finding the Third Proportional to 104,740,926 and 227,612,073

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Solution

The third proportional to 104,740,926 and 227,612,073 is: 494,622,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,740,926 : 227,612,073 = 227,612,073 : x
  2. Step 2: Convert to fraction form
    104,740,926/227,612,073 = 227,612,073/x
  3. Step 3: Cross multiply
    104,740,926x = 227,612,073 × 227,612,073
  4. Step 4: Simplify right side
    104,740,926x = 51,807,255,775,357,328
  5. Step 5: Solve for x
    x = 51,807,255,775,357,328/104,740,926
  6. Step 6: Final answer
    x = 494,622,854.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.