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Finding the Third Proportional to 45,405,152 and 100,888,000

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Solution

The third proportional to 45,405,152 and 100,888,000 is: 224,168,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,405,152 : 100,888,000 = 100,888,000 : x
  2. Step 2: Convert to fraction form
    45,405,152/100,888,000 = 100,888,000/x
  3. Step 3: Cross multiply
    45,405,152x = 100,888,000 × 100,888,000
  4. Step 4: Simplify right side
    45,405,152x = 10,178,388,544,000,000
  5. Step 5: Solve for x
    x = 10,178,388,544,000,000/45,405,152
  6. Step 6: Final answer
    x = 224,168,141.62

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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.