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Finding the Third Proportional to 204,930,700 and 316,972,194

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Solution

The third proportional to 204,930,700 and 316,972,194 is: 490,269,987.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,930,700 : 316,972,194 = 316,972,194 : x
  2. Step 2: Convert to fraction form
    204,930,700/316,972,194 = 316,972,194/x
  3. Step 3: Cross multiply
    204,930,700x = 316,972,194 × 316,972,194
  4. Step 4: Simplify right side
    204,930,700x = 100,471,371,769,173,632
  5. Step 5: Solve for x
    x = 100,471,371,769,173,632/204,930,700
  6. Step 6: Final answer
    x = 490,269,987.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.