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Finding the Third Proportional to 101,097,792 and 218,304,864

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Solution

The third proportional to 101,097,792 and 218,304,864 is: 471,395,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097,792 : 218,304,864 = 218,304,864 : x
  2. Step 2: Convert to fraction form
    101,097,792/218,304,864 = 218,304,864/x
  3. Step 3: Cross multiply
    101,097,792x = 218,304,864 × 218,304,864
  4. Step 4: Simplify right side
    101,097,792x = 47,657,013,646,058,496
  5. Step 5: Solve for x
    x = 47,657,013,646,058,496/101,097,792
  6. Step 6: Final answer
    x = 471,395,197.69

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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.