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Finding the Third Proportional to 100,176,118 and 151,052,514

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Solution

The third proportional to 100,176,118 and 151,052,514 is: 227,767,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,176,118 : 151,052,514 = 151,052,514 : x
  2. Step 2: Convert to fraction form
    100,176,118/151,052,514 = 151,052,514/x
  3. Step 3: Cross multiply
    100,176,118x = 151,052,514 × 151,052,514
  4. Step 4: Simplify right side
    100,176,118x = 22,816,861,985,720,196
  5. Step 5: Solve for x
    x = 22,816,861,985,720,196/100,176,118
  6. Step 6: Final answer
    x = 227,767,480.33

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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.