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Finding the Third Proportional to 95,241,576 and 206,719,392

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Solution

The third proportional to 95,241,576 and 206,719,392 is: 448,679,125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,241,576 : 206,719,392 = 206,719,392 : x
  2. Step 2: Convert to fraction form
    95,241,576/206,719,392 = 206,719,392/x
  3. Step 3: Cross multiply
    95,241,576x = 206,719,392 × 206,719,392
  4. Step 4: Simplify right side
    95,241,576x = 42,732,907,028,849,664
  5. Step 5: Solve for x
    x = 42,732,907,028,849,664/95,241,576
  6. Step 6: Final answer
    x = 448,679,125.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.