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Finding the Third Proportional to 74,165,967 and 109,105,552

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Solution

The third proportional to 74,165,967 and 109,105,552 is: 160,505,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,165,967 : 109,105,552 = 109,105,552 : x
  2. Step 2: Convert to fraction form
    74,165,967/109,105,552 = 109,105,552/x
  3. Step 3: Cross multiply
    74,165,967x = 109,105,552 × 109,105,552
  4. Step 4: Simplify right side
    74,165,967x = 11,904,021,477,224,704
  5. Step 5: Solve for x
    x = 11,904,021,477,224,704/74,165,967
  6. Step 6: Final answer
    x = 160,505,174.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.