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Finding the Third Proportional to 100,907,868 and 155,901,042

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Solution

The third proportional to 100,907,868 and 155,901,042 is: 240,864,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,907,868 : 155,901,042 = 155,901,042 : x
  2. Step 2: Convert to fraction form
    100,907,868/155,901,042 = 155,901,042/x
  3. Step 3: Cross multiply
    100,907,868x = 155,901,042 × 155,901,042
  4. Step 4: Simplify right side
    100,907,868x = 24,305,134,896,685,764
  5. Step 5: Solve for x
    x = 24,305,134,896,685,764/100,907,868
  6. Step 6: Final answer
    x = 240,864,616.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.