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Finding the Third Proportional to 166,210,009 and 248,384,755

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Solution

The third proportional to 166,210,009 and 248,384,755 is: 371,186,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,210,009 : 248,384,755 = 248,384,755 : x
  2. Step 2: Convert to fraction form
    166,210,009/248,384,755 = 248,384,755/x
  3. Step 3: Cross multiply
    166,210,009x = 248,384,755 × 248,384,755
  4. Step 4: Simplify right side
    166,210,009x = 61,694,986,516,410,024
  5. Step 5: Solve for x
    x = 61,694,986,516,410,024/166,210,009
  6. Step 6: Final answer
    x = 371,186,951.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.