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Finding the Third Proportional to 225,831,819 and 345,238,575

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Solution

The third proportional to 225,831,819 and 345,238,575 is: 527,780,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,831,819 : 345,238,575 = 345,238,575 : x
  2. Step 2: Convert to fraction form
    225,831,819/345,238,575 = 345,238,575/x
  3. Step 3: Cross multiply
    225,831,819x = 345,238,575 × 345,238,575
  4. Step 4: Simplify right side
    225,831,819x = 119,189,673,668,030,624
  5. Step 5: Solve for x
    x = 119,189,673,668,030,624/225,831,819
  6. Step 6: Final answer
    x = 527,780,691.83

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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.