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Finding the Third Proportional to 64,250,876 and 97,882,064

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Solution

The third proportional to 64,250,876 and 97,882,064 is: 149,117,008.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,250,876 : 97,882,064 = 97,882,064 : x
  2. Step 2: Convert to fraction form
    64,250,876/97,882,064 = 97,882,064/x
  3. Step 3: Cross multiply
    64,250,876x = 97,882,064 × 97,882,064
  4. Step 4: Simplify right side
    64,250,876x = 9,580,898,452,900,096
  5. Step 5: Solve for x
    x = 9,580,898,452,900,096/64,250,876
  6. Step 6: Final answer
    x = 149,117,008.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.