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Finding the Third Proportional to 49,076,701.50 and 106,332,409

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Solution

The third proportional to 49,076,701.50 and 106,332,409 is: 230,385,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076,701.50 : 106,332,409 = 106,332,409 : x
  2. Step 2: Convert to fraction form
    49,076,701.50/106,332,409 = 106,332,409/x
  3. Step 3: Cross multiply
    49,076,701.50x = 106,332,409 × 106,332,409
  4. Step 4: Simplify right side
    49,076,701.50x = 11,306,581,203,743,280
  5. Step 5: Solve for x
    x = 11,306,581,203,743,280/49,076,701.50
  6. Step 6: Final answer
    x = 230,385,923.63

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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.