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Finding the Third Proportional to 114,848,891.75 and 176,530,994.75

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Solution

The third proportional to 114,848,891.75 and 176,530,994.75 is: 271,340,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,891.75 : 176,530,994.75 = 176,530,994.75 : x
  2. Step 2: Convert to fraction form
    114,848,891.75/176,530,994.75 = 176,530,994.75/x
  3. Step 3: Cross multiply
    114,848,891.75x = 176,530,994.75 × 176,530,994.75
  4. Step 4: Simplify right side
    114,848,891.75x = 31,163,192,107,424,528
  5. Step 5: Solve for x
    x = 31,163,192,107,424,528/114,848,891.75
  6. Step 6: Final answer
    x = 271,340,816.90

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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.