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Finding the Third Proportional to 166,012,812 and 248,104,231.13

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Solution

The third proportional to 166,012,812 and 248,104,231.13 is: 370,788,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,012,812 : 248,104,231.13 = 248,104,231.13 : x
  2. Step 2: Convert to fraction form
    166,012,812/248,104,231.13 = 248,104,231.13/x
  3. Step 3: Cross multiply
    166,012,812x = 248,104,231.13 × 248,104,231.13
  4. Step 4: Simplify right side
    166,012,812x = 61,555,709,502,127,416
  5. Step 5: Solve for x
    x = 61,555,709,502,127,416/166,012,812
  6. Step 6: Final answer
    x = 370,788,909.37

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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.