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Finding the Third Proportional to 238,152,448 and 512,796,084

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Solution

The third proportional to 238,152,448 and 512,796,084 is: 1,104,165,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,152,448 : 512,796,084 = 512,796,084 : x
  2. Step 2: Convert to fraction form
    238,152,448/512,796,084 = 512,796,084/x
  3. Step 3: Cross multiply
    238,152,448x = 512,796,084 × 512,796,084
  4. Step 4: Simplify right side
    238,152,448x = 262,959,823,765,735,040
  5. Step 5: Solve for x
    x = 262,959,823,765,735,040/238,152,448
  6. Step 6: Final answer
    x = 1,104,165,949.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.