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Finding the Third Proportional to 140,363,236 and 313,000,324

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Solution

The third proportional to 140,363,236 and 313,000,324 is: 697,969,109.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,363,236 : 313,000,324 = 313,000,324 : x
  2. Step 2: Convert to fraction form
    140,363,236/313,000,324 = 313,000,324/x
  3. Step 3: Cross multiply
    140,363,236x = 313,000,324 × 313,000,324
  4. Step 4: Simplify right side
    140,363,236x = 97,969,202,824,104,976
  5. Step 5: Solve for x
    x = 97,969,202,824,104,976/140,363,236
  6. Step 6: Final answer
    x = 697,969,109.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.