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Finding the Third Proportional to 106,709,807 and 229,597,582

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Solution

The third proportional to 106,709,807 and 229,597,582 is: 494,003,795.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709,807 : 229,597,582 = 229,597,582 : x
  2. Step 2: Convert to fraction form
    106,709,807/229,597,582 = 229,597,582/x
  3. Step 3: Cross multiply
    106,709,807x = 229,597,582 × 229,597,582
  4. Step 4: Simplify right side
    106,709,807x = 52,715,049,660,246,720
  5. Step 5: Solve for x
    x = 52,715,049,660,246,720/106,709,807
  6. Step 6: Final answer
    x = 494,003,795.36

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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.