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Finding the Third Proportional to 159,787,824.19 and 343,844,787.38

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Solution

The third proportional to 159,787,824.19 and 343,844,787.38 is: 739,913,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,787,824.19 : 343,844,787.38 = 343,844,787.38 : x
  2. Step 2: Convert to fraction form
    159,787,824.19/343,844,787.38 = 343,844,787.38/x
  3. Step 3: Cross multiply
    159,787,824.19x = 343,844,787.38 × 343,844,787.38
  4. Step 4: Simplify right side
    159,787,824.19x = 118,229,237,804,958,960
  5. Step 5: Solve for x
    x = 118,229,237,804,958,960/159,787,824.19
  6. Step 6: Final answer
    x = 739,913,935.28

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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.