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Finding the Third Proportional to 206,060,738 and 429,042,052

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Solution

The third proportional to 206,060,738 and 429,042,052 is: 893,314,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,060,738 : 429,042,052 = 429,042,052 : x
  2. Step 2: Convert to fraction form
    206,060,738/429,042,052 = 429,042,052/x
  3. Step 3: Cross multiply
    206,060,738x = 429,042,052 × 429,042,052
  4. Step 4: Simplify right side
    206,060,738x = 184,077,082,384,370,688
  5. Step 5: Solve for x
    x = 184,077,082,384,370,688/206,060,738
  6. Step 6: Final answer
    x = 893,314,680.76

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Why These Related Problems?

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