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Finding the Third Proportional to 171,335,648.25 and 261,018,797.63

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Solution

The third proportional to 171,335,648.25 and 261,018,797.63 is: 397,645,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,335,648.25 : 261,018,797.63 = 261,018,797.63 : x
  2. Step 2: Convert to fraction form
    171,335,648.25/261,018,797.63 = 261,018,797.63/x
  3. Step 3: Cross multiply
    171,335,648.25x = 261,018,797.63 × 261,018,797.63
  4. Step 4: Simplify right side
    171,335,648.25x = 68,130,812,713,600,704
  5. Step 5: Solve for x
    x = 68,130,812,713,600,704/171,335,648.25
  6. Step 6: Final answer
    x = 397,645,285.20

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.