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Finding the Third Proportional to 206,060,736 and 429,042,048

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Solution

The third proportional to 206,060,736 and 429,042,048 is: 893,314,672.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,060,736 : 429,042,048 = 429,042,048 : x
  2. Step 2: Convert to fraction form
    206,060,736/429,042,048 = 429,042,048/x
  3. Step 3: Cross multiply
    206,060,736x = 429,042,048 × 429,042,048
  4. Step 4: Simplify right side
    206,060,736x = 184,077,078,952,034,304
  5. Step 5: Solve for x
    x = 184,077,078,952,034,304/206,060,736
  6. Step 6: Final answer
    x = 893,314,672.78

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.