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Finding the Third Proportional to 101,097,572 and 218,304,576

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Solution

The third proportional to 101,097,572 and 218,304,576 is: 471,394,979.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097,572 : 218,304,576 = 218,304,576 : x
  2. Step 2: Convert to fraction form
    101,097,572/218,304,576 = 218,304,576/x
  3. Step 3: Cross multiply
    101,097,572x = 218,304,576 × 218,304,576
  4. Step 4: Simplify right side
    101,097,572x = 47,656,887,902,539,776
  5. Step 5: Solve for x
    x = 47,656,887,902,539,776/101,097,572
  6. Step 6: Final answer
    x = 471,394,979.72

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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.