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Finding the Third Proportional to 114,848,336 and 176,530,196

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Solution

The third proportional to 114,848,336 and 176,530,196 is: 271,339,674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,848,336 : 176,530,196 = 176,530,196 : x
  2. Step 2: Convert to fraction form
    114,848,336/176,530,196 = 176,530,196/x
  3. Step 3: Cross multiply
    114,848,336x = 176,530,196 × 176,530,196
  4. Step 4: Simplify right side
    114,848,336x = 31,162,910,099,798,416
  5. Step 5: Solve for x
    x = 31,162,910,099,798,416/114,848,336
  6. Step 6: Final answer
    x = 271,339,674.44

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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.