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Finding the Third Proportional to 45,405,248 and 100,888,176

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Solution

The third proportional to 45,405,248 and 100,888,176 is: 224,168,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,405,248 : 100,888,176 = 100,888,176 : x
  2. Step 2: Convert to fraction form
    45,405,248/100,888,176 = 100,888,176/x
  3. Step 3: Cross multiply
    45,405,248x = 100,888,176 × 100,888,176
  4. Step 4: Simplify right side
    45,405,248x = 10,178,424,056,606,976
  5. Step 5: Solve for x
    x = 10,178,424,056,606,976/45,405,248
  6. Step 6: Final answer
    x = 224,168,449.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.