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Finding the Third Proportional to 204,912,612 and 314,770,835

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Solution

The third proportional to 204,912,612 and 314,770,835 is: 483,526,502.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,912,612 : 314,770,835 = 314,770,835 : x
  2. Step 2: Convert to fraction form
    204,912,612/314,770,835 = 314,770,835/x
  3. Step 3: Cross multiply
    204,912,612x = 314,770,835 × 314,770,835
  4. Step 4: Simplify right side
    204,912,612x = 99,080,678,566,597,232
  5. Step 5: Solve for x
    x = 99,080,678,566,597,232/204,912,612
  6. Step 6: Final answer
    x = 483,526,502.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.