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Finding the Third Proportional to 101,097,532 and 218,304,504

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Solution

The third proportional to 101,097,532 and 218,304,504 is: 471,394,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097,532 : 218,304,504 = 218,304,504 : x
  2. Step 2: Convert to fraction form
    101,097,532/218,304,504 = 218,304,504/x
  3. Step 3: Cross multiply
    101,097,532x = 218,304,504 × 218,304,504
  4. Step 4: Simplify right side
    101,097,532x = 47,656,856,466,686,016
  5. Step 5: Solve for x
    x = 47,656,856,466,686,016/101,097,532
  6. Step 6: Final answer
    x = 471,394,855.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.