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Finding the Third Proportional to 225,831,821 and 345,238,578

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Solution

The third proportional to 225,831,821 and 345,238,578 is: 527,780,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,831,821 : 345,238,578 = 345,238,578 : x
  2. Step 2: Convert to fraction form
    225,831,821/345,238,578 = 345,238,578/x
  3. Step 3: Cross multiply
    225,831,821x = 345,238,578 × 345,238,578
  4. Step 4: Simplify right side
    225,831,821x = 119,189,675,739,462,080
  5. Step 5: Solve for x
    x = 119,189,675,739,462,080/225,831,821
  6. Step 6: Final answer
    x = 527,780,696.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.