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Finding the Third Proportional to 101,097,477 and 218,304,396

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Solution

The third proportional to 101,097,477 and 218,304,396 is: 471,394,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097,477 : 218,304,396 = 218,304,396 : x
  2. Step 2: Convert to fraction form
    101,097,477/218,304,396 = 218,304,396/x
  3. Step 3: Cross multiply
    101,097,477x = 218,304,396 × 218,304,396
  4. Step 4: Simplify right side
    101,097,477x = 47,656,809,312,924,816
  5. Step 5: Solve for x
    x = 47,656,809,312,924,816/101,097,477
  6. Step 6: Final answer
    x = 471,394,645.32

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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.