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Finding the Third Proportional to 75,455,832 and 161,668,416

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Solution

The third proportional to 75,455,832 and 161,668,416 is: 346,383,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,455,832 : 161,668,416 = 161,668,416 : x
  2. Step 2: Convert to fraction form
    75,455,832/161,668,416 = 161,668,416/x
  3. Step 3: Cross multiply
    75,455,832x = 161,668,416 × 161,668,416
  4. Step 4: Simplify right side
    75,455,832x = 26,136,676,731,949,056
  5. Step 5: Solve for x
    x = 26,136,676,731,949,056/75,455,832
  6. Step 6: Final answer
    x = 346,383,785.58

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