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Finding the Third Proportional to 49,076,702 and 106,332,408

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Solution

The third proportional to 49,076,702 and 106,332,408 is: 230,385,916.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076,702 : 106,332,408 = 106,332,408 : x
  2. Step 2: Convert to fraction form
    49,076,702/106,332,408 = 106,332,408/x
  3. Step 3: Cross multiply
    49,076,702x = 106,332,408 × 106,332,408
  4. Step 4: Simplify right side
    49,076,702x = 11,306,580,991,078,464
  5. Step 5: Solve for x
    x = 11,306,580,991,078,464/49,076,702
  6. Step 6: Final answer
    x = 230,385,916.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.