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Finding the Third Proportional to 141,341,696 and 212,162,144

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Solution

The third proportional to 141,341,696 and 212,162,144 is: 318,467,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,341,696 : 212,162,144 = 212,162,144 : x
  2. Step 2: Convert to fraction form
    141,341,696/212,162,144 = 212,162,144/x
  3. Step 3: Cross multiply
    141,341,696x = 212,162,144 × 212,162,144
  4. Step 4: Simplify right side
    141,341,696x = 45,012,775,346,676,736
  5. Step 5: Solve for x
    x = 45,012,775,346,676,736/141,341,696
  6. Step 6: Final answer
    x = 318,467,774.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.