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Finding the Third Proportional to 206,659,231,632 and 287,343,142,911

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Solution

The third proportional to 206,659,231,632 and 287,343,142,911 is: 399,527,672,322.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,659,231,632 : 287,343,142,911 = 287,343,142,911 : x
  2. Step 2: Convert to fraction form
    206,659,231,632/287,343,142,911 = 287,343,142,911/x
  3. Step 3: Cross multiply
    206,659,231,632x = 287,343,142,911 × 287,343,142,911
  4. Step 4: Simplify right side
    206,659,231,632x = 82,566,081,777,971,364,888,576
  5. Step 5: Solve for x
    x = 82,566,081,777,971,364,888,576/206,659,231,632
  6. Step 6: Final answer
    x = 399,527,672,322.90

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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.