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Finding the Third Proportional to 81,840,173.50 and 177,302,190

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Solution

The third proportional to 81,840,173.50 and 177,302,190 is: 384,115,346.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,840,173.50 : 177,302,190 = 177,302,190 : x
  2. Step 2: Convert to fraction form
    81,840,173.50/177,302,190 = 177,302,190/x
  3. Step 3: Cross multiply
    81,840,173.50x = 177,302,190 × 177,302,190
  4. Step 4: Simplify right side
    81,840,173.50x = 31,436,066,578,796,100
  5. Step 5: Solve for x
    x = 31,436,066,578,796,100/81,840,173.50
  6. Step 6: Final answer
    x = 384,115,346.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.