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Finding the Third Proportional to 106,357,548 and 231,349,976

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Solution

The third proportional to 106,357,548 and 231,349,976 is: 503,234,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,357,548 : 231,349,976 = 231,349,976 : x
  2. Step 2: Convert to fraction form
    106,357,548/231,349,976 = 231,349,976/x
  3. Step 3: Cross multiply
    106,357,548x = 231,349,976 × 231,349,976
  4. Step 4: Simplify right side
    106,357,548x = 53,522,811,395,200,576
  5. Step 5: Solve for x
    x = 53,522,811,395,200,576/106,357,548
  6. Step 6: Final answer
    x = 503,234,724.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.