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Finding the Third Proportional to 213,542,731 and 332,798,963

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Solution

The third proportional to 213,542,731 and 332,798,963 is: 518,655,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,542,731 : 332,798,963 = 332,798,963 : x
  2. Step 2: Convert to fraction form
    213,542,731/332,798,963 = 332,798,963/x
  3. Step 3: Cross multiply
    213,542,731x = 332,798,963 × 332,798,963
  4. Step 4: Simplify right side
    213,542,731x = 110,755,149,773,875,376
  5. Step 5: Solve for x
    x = 110,755,149,773,875,376/213,542,731
  6. Step 6: Final answer
    x = 518,655,677.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.