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Finding the Third Proportional to 102,278,200 and 219,734,896

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Solution

The third proportional to 102,278,200 and 219,734,896 is: 472,079,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,278,200 : 219,734,896 = 219,734,896 : x
  2. Step 2: Convert to fraction form
    102,278,200/219,734,896 = 219,734,896/x
  3. Step 3: Cross multiply
    102,278,200x = 219,734,896 × 219,734,896
  4. Step 4: Simplify right side
    102,278,200x = 48,283,424,520,130,816
  5. Step 5: Solve for x
    x = 48,283,424,520,130,816/102,278,200
  6. Step 6: Final answer
    x = 472,079,333.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.