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Finding the Third Proportional to 218,683,682 and 481,942,061

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Solution

The third proportional to 218,683,682 and 481,942,061 is: 1,062,119,258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,683,682 : 481,942,061 = 481,942,061 : x
  2. Step 2: Convert to fraction form
    218,683,682/481,942,061 = 481,942,061/x
  3. Step 3: Cross multiply
    218,683,682x = 481,942,061 × 481,942,061
  4. Step 4: Simplify right side
    218,683,682x = 232,268,150,160,927,712
  5. Step 5: Solve for x
    x = 232,268,150,160,927,712/218,683,682
  6. Step 6: Final answer
    x = 1,062,119,258.45

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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.