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Finding the Third Proportional to 100,176,115 and 151,052,511

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Solution

The third proportional to 100,176,115 and 151,052,511 is: 227,767,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,115 : 151,052,511 = 151,052,511 : x
  2. Step 2: Convert to fraction form
    100,176,115/151,052,511 = 151,052,511/x
  3. Step 3: Cross multiply
    100,176,115x = 151,052,511 × 151,052,511
  4. Step 4: Simplify right side
    100,176,115x = 22,816,861,079,405,120
  5. Step 5: Solve for x
    x = 22,816,861,079,405,120/100,176,115
  6. Step 6: Final answer
    x = 227,767,478.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.