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Finding the Third Proportional to 211,392,126 and 464,354,748

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Solution

The third proportional to 211,392,126 and 464,354,748 is: 1,020,025,372.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,392,126 : 464,354,748 = 464,354,748 : x
  2. Step 2: Convert to fraction form
    211,392,126/464,354,748 = 464,354,748/x
  3. Step 3: Cross multiply
    211,392,126x = 464,354,748 × 464,354,748
  4. Step 4: Simplify right side
    211,392,126x = 215,625,331,990,143,488
  5. Step 5: Solve for x
    x = 215,625,331,990,143,488/211,392,126
  6. Step 6: Final answer
    x = 1,020,025,372.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.