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Finding the Third Proportional to 227,821,135 and 497,041,175

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Solution

The third proportional to 227,821,135 and 497,041,175 is: 1,084,403,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,821,135 : 497,041,175 = 497,041,175 : x
  2. Step 2: Convert to fraction form
    227,821,135/497,041,175 = 497,041,175/x
  3. Step 3: Cross multiply
    227,821,135x = 497,041,175 × 497,041,175
  4. Step 4: Simplify right side
    227,821,135x = 247,049,929,645,380,640
  5. Step 5: Solve for x
    x = 247,049,929,645,380,640/227,821,135
  6. Step 6: Final answer
    x = 1,084,403,032.43

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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.