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Finding the Third Proportional to 49,148,481 and 106,475,247

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Solution

The third proportional to 49,148,481 and 106,475,247 is: 230,667,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148,481 : 106,475,247 = 106,475,247 : x
  2. Step 2: Convert to fraction form
    49,148,481/106,475,247 = 106,475,247/x
  3. Step 3: Cross multiply
    49,148,481x = 106,475,247 × 106,475,247
  4. Step 4: Simplify right side
    49,148,481x = 11,336,978,223,711,008
  5. Step 5: Solve for x
    x = 11,336,978,223,711,008/49,148,481
  6. Step 6: Final answer
    x = 230,667,926.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.