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Finding the Third Proportional to 154,143,736 and 222,711,070

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Solution

The third proportional to 154,143,736 and 222,711,070 is: 321,779,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,143,736 : 222,711,070 = 222,711,070 : x
  2. Step 2: Convert to fraction form
    154,143,736/222,711,070 = 222,711,070/x
  3. Step 3: Cross multiply
    154,143,736x = 222,711,070 × 222,711,070
  4. Step 4: Simplify right side
    154,143,736x = 49,600,220,700,544,896
  5. Step 5: Solve for x
    x = 49,600,220,700,544,896/154,143,736
  6. Step 6: Final answer
    x = 321,779,022.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.