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Finding the Third Proportional to 70,613,019 and 152,373,163.50

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Solution

The third proportional to 70,613,019 and 152,373,163.50 is: 328,800,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,613,019 : 152,373,163.50 = 152,373,163.50 : x
  2. Step 2: Convert to fraction form
    70,613,019/152,373,163.50 = 152,373,163.50/x
  3. Step 3: Cross multiply
    70,613,019x = 152,373,163.50 × 152,373,163.50
  4. Step 4: Simplify right side
    70,613,019x = 23,217,580,954,997,732
  5. Step 5: Solve for x
    x = 23,217,580,954,997,732/70,613,019
  6. Step 6: Final answer
    x = 328,800,287.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.