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Finding the Third Proportional to 202,468,351 and 302,375,769

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Solution

The third proportional to 202,468,351 and 302,375,769 is: 451,582,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468,351 : 302,375,769 = 302,375,769 : x
  2. Step 2: Convert to fraction form
    202,468,351/302,375,769 = 302,375,769/x
  3. Step 3: Cross multiply
    202,468,351x = 302,375,769 × 302,375,769
  4. Step 4: Simplify right side
    202,468,351x = 91,431,105,678,341,360
  5. Step 5: Solve for x
    x = 91,431,105,678,341,360/202,468,351
  6. Step 6: Final answer
    x = 451,582,211.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.