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Finding the Third Proportional to 73,820,160 and 161,542,530

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Solution

The third proportional to 73,820,160 and 161,542,530 is: 353,507,619.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,820,160 : 161,542,530 = 161,542,530 : x
  2. Step 2: Convert to fraction form
    73,820,160/161,542,530 = 161,542,530/x
  3. Step 3: Cross multiply
    73,820,160x = 161,542,530 × 161,542,530
  4. Step 4: Simplify right side
    73,820,160x = 26,095,988,998,800,900
  5. Step 5: Solve for x
    x = 26,095,988,998,800,900/73,820,160
  6. Step 6: Final answer
    x = 353,507,619.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.