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Finding the Third Proportional to 147,314,628 and 204,829,218

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Solution

The third proportional to 147,314,628 and 204,829,218 is: 284,798,659.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,314,628 : 204,829,218 = 204,829,218 : x
  2. Step 2: Convert to fraction form
    147,314,628/204,829,218 = 204,829,218/x
  3. Step 3: Cross multiply
    147,314,628x = 204,829,218 × 204,829,218
  4. Step 4: Simplify right side
    147,314,628x = 41,955,008,546,491,520
  5. Step 5: Solve for x
    x = 41,955,008,546,491,520/147,314,628
  6. Step 6: Final answer
    x = 284,798,659.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.