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Finding the Third Proportional to 112,234,824 and 262,231,236

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Solution

The third proportional to 112,234,824 and 262,231,236 is: 612,690,595.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,234,824 : 262,231,236 = 262,231,236 : x
  2. Step 2: Convert to fraction form
    112,234,824/262,231,236 = 262,231,236/x
  3. Step 3: Cross multiply
    112,234,824x = 262,231,236 × 262,231,236
  4. Step 4: Simplify right side
    112,234,824x = 68,765,221,134,087,696
  5. Step 5: Solve for x
    x = 68,765,221,134,087,696/112,234,824
  6. Step 6: Final answer
    x = 612,690,595.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.