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Finding the Third Proportional to 104,811,122 and 220,464,836

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Solution

The third proportional to 104,811,122 and 220,464,836 is: 463,736,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,811,122 : 220,464,836 = 220,464,836 : x
  2. Step 2: Convert to fraction form
    104,811,122/220,464,836 = 220,464,836/x
  3. Step 3: Cross multiply
    104,811,122x = 220,464,836 × 220,464,836
  4. Step 4: Simplify right side
    104,811,122x = 48,604,743,912,506,896
  5. Step 5: Solve for x
    x = 48,604,743,912,506,896/104,811,122
  6. Step 6: Final answer
    x = 463,736,509.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.