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Finding the Third Proportional to 160,853,307 and 347,215,761

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Solution

The third proportional to 160,853,307 and 347,215,761 is: 749,495,219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,853,307 : 347,215,761 = 347,215,761 : x
  2. Step 2: Convert to fraction form
    160,853,307/347,215,761 = 347,215,761/x
  3. Step 3: Cross multiply
    160,853,307x = 347,215,761 × 347,215,761
  4. Step 4: Simplify right side
    160,853,307x = 120,558,784,686,809,120
  5. Step 5: Solve for x
    x = 120,558,784,686,809,120/160,853,307
  6. Step 6: Final answer
    x = 749,495,219.81

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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.