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Finding the Third Proportional to 100,643,152 and 220,129,496

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Solution

The third proportional to 100,643,152 and 220,129,496 is: 481,473,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643,152 : 220,129,496 = 220,129,496 : x
  2. Step 2: Convert to fraction form
    100,643,152/220,129,496 = 220,129,496/x
  3. Step 3: Cross multiply
    100,643,152x = 220,129,496 × 220,129,496
  4. Step 4: Simplify right side
    100,643,152x = 48,456,995,009,214,016
  5. Step 5: Solve for x
    x = 48,456,995,009,214,016/100,643,152
  6. Step 6: Final answer
    x = 481,473,344.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.