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Finding the Third Proportional to 74,168,150 and 109,107,910

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Solution

The third proportional to 74,168,150 and 109,107,910 is: 160,507,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,168,150 : 109,107,910 = 109,107,910 : x
  2. Step 2: Convert to fraction form
    74,168,150/109,107,910 = 109,107,910/x
  3. Step 3: Cross multiply
    74,168,150x = 109,107,910 × 109,107,910
  4. Step 4: Simplify right side
    74,168,150x = 11,904,536,024,568,100
  5. Step 5: Solve for x
    x = 11,904,536,024,568,100/74,168,150
  6. Step 6: Final answer
    x = 160,507,387.94

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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.