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Finding the Third Proportional to 144,376,263 and 311,763,600

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Solution

The third proportional to 144,376,263 and 311,763,600 is: 673,216,914.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,376,263 : 311,763,600 = 311,763,600 : x
  2. Step 2: Convert to fraction form
    144,376,263/311,763,600 = 311,763,600/x
  3. Step 3: Cross multiply
    144,376,263x = 311,763,600 × 311,763,600
  4. Step 4: Simplify right side
    144,376,263x = 97,196,542,284,960,000
  5. Step 5: Solve for x
    x = 97,196,542,284,960,000/144,376,263
  6. Step 6: Final answer
    x = 673,216,914.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.