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Finding the Third Proportional to 211,392,132 and 464,354,760

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Solution

The third proportional to 211,392,132 and 464,354,760 is: 1,020,025,395.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,392,132 : 464,354,760 = 464,354,760 : x
  2. Step 2: Convert to fraction form
    211,392,132/464,354,760 = 464,354,760/x
  3. Step 3: Cross multiply
    211,392,132x = 464,354,760 × 464,354,760
  4. Step 4: Simplify right side
    211,392,132x = 215,625,343,134,657,600
  5. Step 5: Solve for x
    x = 215,625,343,134,657,600/211,392,132
  6. Step 6: Final answer
    x = 1,020,025,395.91

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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.