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Finding the Third Proportional to 161,153,561 and 345,280,794

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Solution

The third proportional to 161,153,561 and 345,280,794 is: 739,784,004.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,153,561 : 345,280,794 = 345,280,794 : x
  2. Step 2: Convert to fraction form
    161,153,561/345,280,794 = 345,280,794/x
  3. Step 3: Cross multiply
    161,153,561x = 345,280,794 × 345,280,794
  4. Step 4: Simplify right side
    161,153,561x = 119,218,826,705,270,432
  5. Step 5: Solve for x
    x = 119,218,826,705,270,432/161,153,561
  6. Step 6: Final answer
    x = 739,784,004.56

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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.