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Finding the Third Proportional to 35,091,150 and 78,250,692

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Solution

The third proportional to 35,091,150 and 78,250,692 is: 174,493,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,091,150 : 78,250,692 = 78,250,692 : x
  2. Step 2: Convert to fraction form
    35,091,150/78,250,692 = 78,250,692/x
  3. Step 3: Cross multiply
    35,091,150x = 78,250,692 × 78,250,692
  4. Step 4: Simplify right side
    35,091,150x = 6,123,170,798,478,864
  5. Step 5: Solve for x
    x = 6,123,170,798,478,864/35,091,150
  6. Step 6: Final answer
    x = 174,493,306.67

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.