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Finding the Third Proportional to 66,350,245,901 and 146,224,785,053.50

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Solution

The third proportional to 66,350,245,901 and 146,224,785,053.50 is: 322,254,838,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,350,245,901 : 146,224,785,053.50 = 146,224,785,053.50 : x
  2. Step 2: Convert to fraction form
    66,350,245,901/146,224,785,053.50 = 146,224,785,053.50/x
  3. Step 3: Cross multiply
    66,350,245,901x = 146,224,785,053.50 × 146,224,785,053.50
  4. Step 4: Simplify right side
    66,350,245,901x = 21,381,687,763,942,277,906,432
  5. Step 5: Solve for x
    x = 21,381,687,763,942,277,906,432/66,350,245,901
  6. Step 6: Final answer
    x = 322,254,838,299.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.