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Finding the Third Proportional to 219,324,768.40 and 487,687,424.63

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Solution

The third proportional to 219,324,768.40 and 487,687,424.63 is: 1,084,414,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,324,768.40 : 487,687,424.63 = 487,687,424.63 : x
  2. Step 2: Convert to fraction form
    219,324,768.40/487,687,424.63 = 487,687,424.63/x
  3. Step 3: Cross multiply
    219,324,768.40x = 487,687,424.63 × 487,687,424.63
  4. Step 4: Simplify right side
    219,324,768.40x = 237,839,024,137,365,056
  5. Step 5: Solve for x
    x = 237,839,024,137,365,056/219,324,768.40
  6. Step 6: Final answer
    x = 1,084,414,796.72

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.