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Finding the Third Proportional to 269,552,192 and 385,196,318

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Solution

The third proportional to 269,552,192 and 385,196,318 is: 550,454,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,552,192 : 385,196,318 = 385,196,318 : x
  2. Step 2: Convert to fraction form
    269,552,192/385,196,318 = 385,196,318/x
  3. Step 3: Cross multiply
    269,552,192x = 385,196,318 × 385,196,318
  4. Step 4: Simplify right side
    269,552,192x = 148,376,203,400,757,120
  5. Step 5: Solve for x
    x = 148,376,203,400,757,120/269,552,192
  6. Step 6: Final answer
    x = 550,454,449.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.