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Finding the Third Proportional to 75,886,395 and 113,621,583

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Solution

The third proportional to 75,886,395 and 113,621,583 is: 170,120,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,886,395 : 113,621,583 = 113,621,583 : x
  2. Step 2: Convert to fraction form
    75,886,395/113,621,583 = 113,621,583/x
  3. Step 3: Cross multiply
    75,886,395x = 113,621,583 × 113,621,583
  4. Step 4: Simplify right side
    75,886,395x = 12,909,864,123,425,888
  5. Step 5: Solve for x
    x = 12,909,864,123,425,888/75,886,395
  6. Step 6: Final answer
    x = 170,120,930.42

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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.