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Finding the Third Proportional to 49,278,235.78 and 114,076,107

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Solution

The third proportional to 49,278,235.78 and 114,076,107 is: 264,079,222.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278,235.78 : 114,076,107 = 114,076,107 : x
  2. Step 2: Convert to fraction form
    49,278,235.78/114,076,107 = 114,076,107/x
  3. Step 3: Cross multiply
    49,278,235.78x = 114,076,107 × 114,076,107
  4. Step 4: Simplify right side
    49,278,235.78x = 13,013,358,188,275,448
  5. Step 5: Solve for x
    x = 13,013,358,188,275,448/49,278,235.78
  6. Step 6: Final answer
    x = 264,079,222.44

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.