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Finding the Third Proportional to 47,997,482 and 103,656,299

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Solution

The third proportional to 47,997,482 and 103,656,299 is: 223,858,166.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,997,482 : 103,656,299 = 103,656,299 : x
  2. Step 2: Convert to fraction form
    47,997,482/103,656,299 = 103,656,299/x
  3. Step 3: Cross multiply
    47,997,482x = 103,656,299 × 103,656,299
  4. Step 4: Simplify right side
    47,997,482x = 10,744,628,322,377,400
  5. Step 5: Solve for x
    x = 10,744,628,322,377,400/47,997,482
  6. Step 6: Final answer
    x = 223,858,166.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.