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Finding the Third Proportional to 70,077,698 and 149,840,068

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Solution

The third proportional to 70,077,698 and 149,840,068 is: 320,387,892.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,077,698 : 149,840,068 = 149,840,068 : x
  2. Step 2: Convert to fraction form
    70,077,698/149,840,068 = 149,840,068/x
  3. Step 3: Cross multiply
    70,077,698x = 149,840,068 × 149,840,068
  4. Step 4: Simplify right side
    70,077,698x = 22,452,045,978,244,624
  5. Step 5: Solve for x
    x = 22,452,045,978,244,624/70,077,698
  6. Step 6: Final answer
    x = 320,387,892.57

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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.