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Finding the Third Proportional to 206,037,178 and 436,636,148

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Solution

The third proportional to 206,037,178 and 436,636,148 is: 925,323,903.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,037,178 : 436,636,148 = 436,636,148 : x
  2. Step 2: Convert to fraction form
    206,037,178/436,636,148 = 436,636,148/x
  3. Step 3: Cross multiply
    206,037,178x = 436,636,148 × 436,636,148
  4. Step 4: Simplify right side
    206,037,178x = 190,651,125,740,277,888
  5. Step 5: Solve for x
    x = 190,651,125,740,277,888/206,037,178
  6. Step 6: Final answer
    x = 925,323,903.15

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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.