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Finding the Third Proportional to 217,714,774 and 337,102,566

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Solution

The third proportional to 217,714,774 and 337,102,566 is: 521,958,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,714,774 : 337,102,566 = 337,102,566 : x
  2. Step 2: Convert to fraction form
    217,714,774/337,102,566 = 337,102,566/x
  3. Step 3: Cross multiply
    217,714,774x = 337,102,566 × 337,102,566
  4. Step 4: Simplify right side
    217,714,774x = 113,638,140,003,784,352
  5. Step 5: Solve for x
    x = 113,638,140,003,784,352/217,714,774
  6. Step 6: Final answer
    x = 521,958,790.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.