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Finding the Third Proportional to 100,907,864 and 155,901,036

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Solution

The third proportional to 100,907,864 and 155,901,036 is: 240,864,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,907,864 : 155,901,036 = 155,901,036 : x
  2. Step 2: Convert to fraction form
    100,907,864/155,901,036 = 155,901,036/x
  3. Step 3: Cross multiply
    100,907,864x = 155,901,036 × 155,901,036
  4. Step 4: Simplify right side
    100,907,864x = 24,305,133,025,873,296
  5. Step 5: Solve for x
    x = 24,305,133,025,873,296/100,907,864
  6. Step 6: Final answer
    x = 240,864,607.20

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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.