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Finding the Third Proportional to 166,210,005 and 248,384,749.50

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Solution

The third proportional to 166,210,005 and 248,384,749.50 is: 371,186,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,210,005 : 248,384,749.50 = 248,384,749.50 : x
  2. Step 2: Convert to fraction form
    166,210,005/248,384,749.50 = 248,384,749.50/x
  3. Step 3: Cross multiply
    166,210,005x = 248,384,749.50 × 248,384,749.50
  4. Step 4: Simplify right side
    166,210,005x = 61,694,983,784,177,752
  5. Step 5: Solve for x
    x = 61,694,983,784,177,752/166,210,005
  6. Step 6: Final answer
    x = 371,186,943.80

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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.