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Finding the Third Proportional to 110,484,986 and 153,620,581

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Solution

The third proportional to 110,484,986 and 153,620,581 is: 213,597,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,484,986 : 153,620,581 = 153,620,581 : x
  2. Step 2: Convert to fraction form
    110,484,986/153,620,581 = 153,620,581/x
  3. Step 3: Cross multiply
    110,484,986x = 153,620,581 × 153,620,581
  4. Step 4: Simplify right side
    110,484,986x = 23,599,282,906,777,560
  5. Step 5: Solve for x
    x = 23,599,282,906,777,560/110,484,986
  6. Step 6: Final answer
    x = 213,597,193.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.