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Finding the Third Proportional to 217,935,043.50 and 464,965,261.50

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Solution

The third proportional to 217,935,043.50 and 464,965,261.50 is: 992,005,190.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,935,043.50 : 464,965,261.50 = 464,965,261.50 : x
  2. Step 2: Convert to fraction form
    217,935,043.50/464,965,261.50 = 464,965,261.50/x
  3. Step 3: Cross multiply
    217,935,043.50x = 464,965,261.50 × 464,965,261.50
  4. Step 4: Simplify right side
    217,935,043.50x = 216,192,694,401,763,392
  5. Step 5: Solve for x
    x = 216,192,694,401,763,392/217,935,043.50
  6. Step 6: Final answer
    x = 992,005,190.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.