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Finding the Third Proportional to 49,076,795 and 106,332,580

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Solution

The third proportional to 49,076,795 and 106,332,580 is: 230,386,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076,795 : 106,332,580 = 106,332,580 : x
  2. Step 2: Convert to fraction form
    49,076,795/106,332,580 = 106,332,580/x
  3. Step 3: Cross multiply
    49,076,795x = 106,332,580 × 106,332,580
  4. Step 4: Simplify right side
    49,076,795x = 11,306,617,569,456,400
  5. Step 5: Solve for x
    x = 11,306,617,569,456,400/49,076,795
  6. Step 6: Final answer
    x = 230,386,225.70

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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.