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Finding the Third Proportional to 113,711,945 and 174,675,457

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Solution

The third proportional to 113,711,945 and 174,675,457 is: 268,322,868.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,711,945 : 174,675,457 = 174,675,457 : x
  2. Step 2: Convert to fraction form
    113,711,945/174,675,457 = 174,675,457/x
  3. Step 3: Cross multiply
    113,711,945x = 174,675,457 × 174,675,457
  4. Step 4: Simplify right side
    113,711,945x = 30,511,515,278,158,848
  5. Step 5: Solve for x
    x = 30,511,515,278,158,848/113,711,945
  6. Step 6: Final answer
    x = 268,322,868.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.