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Finding the Third Proportional to 227,821,144 and 497,041,193

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Solution

The third proportional to 227,821,144 and 497,041,193 is: 1,084,403,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,821,144 : 497,041,193 = 497,041,193 : x
  2. Step 2: Convert to fraction form
    227,821,144/497,041,193 = 497,041,193/x
  3. Step 3: Cross multiply
    227,821,144x = 497,041,193 × 497,041,193
  4. Step 4: Simplify right side
    227,821,144x = 247,049,947,538,863,264
  5. Step 5: Solve for x
    x = 247,049,947,538,863,264/227,821,144
  6. Step 6: Final answer
    x = 1,084,403,068.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.