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Finding the Third Proportional to 75,455,812 and 161,668,384

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Solution

The third proportional to 75,455,812 and 161,668,384 is: 346,383,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,455,812 : 161,668,384 = 161,668,384 : x
  2. Step 2: Convert to fraction form
    75,455,812/161,668,384 = 161,668,384/x
  3. Step 3: Cross multiply
    75,455,812x = 161,668,384 × 161,668,384
  4. Step 4: Simplify right side
    75,455,812x = 26,136,666,385,171,456
  5. Step 5: Solve for x
    x = 26,136,666,385,171,456/75,455,812
  6. Step 6: Final answer
    x = 346,383,740.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.