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Finding the Third Proportional to 206,037,180 and 436,636,152

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Solution

The third proportional to 206,037,180 and 436,636,152 is: 925,323,911.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,037,180 : 436,636,152 = 436,636,152 : x
  2. Step 2: Convert to fraction form
    206,037,180/436,636,152 = 436,636,152/x
  3. Step 3: Cross multiply
    206,037,180x = 436,636,152 × 436,636,152
  4. Step 4: Simplify right side
    206,037,180x = 190,651,129,233,367,104
  5. Step 5: Solve for x
    x = 190,651,129,233,367,104/206,037,180
  6. Step 6: Final answer
    x = 925,323,911.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.