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Finding the Third Proportional to 100,541,616 and 218,998,560

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Solution

The third proportional to 100,541,616 and 218,998,560 is: 477,020,075.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,541,616 : 218,998,560 = 218,998,560 : x
  2. Step 2: Convert to fraction form
    100,541,616/218,998,560 = 218,998,560/x
  3. Step 3: Cross multiply
    100,541,616x = 218,998,560 × 218,998,560
  4. Step 4: Simplify right side
    100,541,616x = 47,960,369,282,073,600
  5. Step 5: Solve for x
    x = 47,960,369,282,073,600/100,541,616
  6. Step 6: Final answer
    x = 477,020,075.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.