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Finding the Third Proportional to 162,285,158 and 382,713,459

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Solution

The third proportional to 162,285,158 and 382,713,459 is: 902,544,591.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,285,158 : 382,713,459 = 382,713,459 : x
  2. Step 2: Convert to fraction form
    162,285,158/382,713,459 = 382,713,459/x
  3. Step 3: Cross multiply
    162,285,158x = 382,713,459 × 382,713,459
  4. Step 4: Simplify right side
    162,285,158x = 146,469,591,699,744,672
  5. Step 5: Solve for x
    x = 146,469,591,699,744,672/162,285,158
  6. Step 6: Final answer
    x = 902,544,591.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.