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Finding the Third Proportional to 103,640,854 and 154,890,081

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Solution

The third proportional to 103,640,854 and 154,890,081 is: 231,481,469.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640,854 : 154,890,081 = 154,890,081 : x
  2. Step 2: Convert to fraction form
    103,640,854/154,890,081 = 154,890,081/x
  3. Step 3: Cross multiply
    103,640,854x = 154,890,081 × 154,890,081
  4. Step 4: Simplify right side
    103,640,854x = 23,990,937,192,186,560
  5. Step 5: Solve for x
    x = 23,990,937,192,186,560/103,640,854
  6. Step 6: Final answer
    x = 231,481,469.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.