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Finding the Third Proportional to 114,848,338 and 176,530,199

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Solution

The third proportional to 114,848,338 and 176,530,199 is: 271,339,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,338 : 176,530,199 = 176,530,199 : x
  2. Step 2: Convert to fraction form
    114,848,338/176,530,199 = 176,530,199/x
  3. Step 3: Cross multiply
    114,848,338x = 176,530,199 × 176,530,199
  4. Step 4: Simplify right side
    114,848,338x = 31,162,911,158,979,600
  5. Step 5: Solve for x
    x = 31,162,911,158,979,600/114,848,338
  6. Step 6: Final answer
    x = 271,339,678.93

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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.