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Finding the Third Proportional to 219,314,106 and 481,669,662

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Solution

The third proportional to 219,314,106 and 481,669,662 is: 1,057,869,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314,106 : 481,669,662 = 481,669,662 : x
  2. Step 2: Convert to fraction form
    219,314,106/481,669,662 = 481,669,662/x
  3. Step 3: Cross multiply
    219,314,106x = 481,669,662 × 481,669,662
  4. Step 4: Simplify right side
    219,314,106x = 232,005,663,291,194,240
  5. Step 5: Solve for x
    x = 232,005,663,291,194,240/219,314,106
  6. Step 6: Final answer
    x = 1,057,869,315.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.