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Finding the Third Proportional to 230,496,624 and 337,120,407

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Solution

The third proportional to 230,496,624 and 337,120,407 is: 493,066,522.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,496,624 : 337,120,407 = 337,120,407 : x
  2. Step 2: Convert to fraction form
    230,496,624/337,120,407 = 337,120,407/x
  3. Step 3: Cross multiply
    230,496,624x = 337,120,407 × 337,120,407
  4. Step 4: Simplify right side
    230,496,624x = 113,650,168,815,845,648
  5. Step 5: Solve for x
    x = 113,650,168,815,845,648/230,496,624
  6. Step 6: Final answer
    x = 493,066,522.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.