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Finding the Third Proportional to 70,077,696 and 149,840,064

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Solution

The third proportional to 70,077,696 and 149,840,064 is: 320,387,884.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077,696 : 149,840,064 = 149,840,064 : x
  2. Step 2: Convert to fraction form
    70,077,696/149,840,064 = 149,840,064/x
  3. Step 3: Cross multiply
    70,077,696x = 149,840,064 × 149,840,064
  4. Step 4: Simplify right side
    70,077,696x = 22,452,044,779,524,096
  5. Step 5: Solve for x
    x = 22,452,044,779,524,096/70,077,696
  6. Step 6: Final answer
    x = 320,387,884.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.