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Finding the Third Proportional to 188,017,716 and 412,356,084

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Solution

The third proportional to 188,017,716 and 412,356,084 is: 904,369,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,017,716 : 412,356,084 = 412,356,084 : x
  2. Step 2: Convert to fraction form
    188,017,716/412,356,084 = 412,356,084/x
  3. Step 3: Cross multiply
    188,017,716x = 412,356,084 × 412,356,084
  4. Step 4: Simplify right side
    188,017,716x = 170,037,540,011,815,040
  5. Step 5: Solve for x
    x = 170,037,540,011,815,040/188,017,716
  6. Step 6: Final answer
    x = 904,369,777.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.