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Finding the Third Proportional to 106,709,805 and 229,597,578

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Solution

The third proportional to 106,709,805 and 229,597,578 is: 494,003,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709,805 : 229,597,578 = 229,597,578 : x
  2. Step 2: Convert to fraction form
    106,709,805/229,597,578 = 229,597,578/x
  3. Step 3: Cross multiply
    106,709,805x = 229,597,578 × 229,597,578
  4. Step 4: Simplify right side
    106,709,805x = 52,715,047,823,466,080
  5. Step 5: Solve for x
    x = 52,715,047,823,466,080/106,709,805
  6. Step 6: Final answer
    x = 494,003,787.41

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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.