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Finding the Third Proportional to 144,368,900 and 311,749,036

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Solution

The third proportional to 144,368,900 and 311,749,036 is: 673,188,349.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,368,900 : 311,749,036 = 311,749,036 : x
  2. Step 2: Convert to fraction form
    144,368,900/311,749,036 = 311,749,036/x
  3. Step 3: Cross multiply
    144,368,900x = 311,749,036 × 311,749,036
  4. Step 4: Simplify right side
    144,368,900x = 97,187,461,446,929,296
  5. Step 5: Solve for x
    x = 97,187,461,446,929,296/144,368,900
  6. Step 6: Final answer
    x = 673,188,349.06

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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.