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Finding the Third Proportional to 114,847,933.50 and 176,529,584.25

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Solution

The third proportional to 114,847,933.50 and 176,529,584.25 is: 271,338,744.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,847,933.50 : 176,529,584.25 = 176,529,584.25 : x
  2. Step 2: Convert to fraction form
    114,847,933.50/176,529,584.25 = 176,529,584.25/x
  3. Step 3: Cross multiply
    114,847,933.50x = 176,529,584.25 × 176,529,584.25
  4. Step 4: Simplify right side
    114,847,933.50x = 31,162,694,115,477,848
  5. Step 5: Solve for x
    x = 31,162,694,115,477,848/114,847,933.50
  6. Step 6: Final answer
    x = 271,338,744.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.