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Finding the Third Proportional to 75,521,841.75 and 162,664,340.81

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Solution

The third proportional to 75,521,841.75 and 162,664,340.81 is: 350,358,083.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,521,841.75 : 162,664,340.81 = 162,664,340.81 : x
  2. Step 2: Convert to fraction form
    75,521,841.75/162,664,340.81 = 162,664,340.81/x
  3. Step 3: Cross multiply
    75,521,841.75x = 162,664,340.81 × 162,664,340.81
  4. Step 4: Simplify right side
    75,521,841.75x = 26,459,687,771,965,152
  5. Step 5: Solve for x
    x = 26,459,687,771,965,152/75,521,841.75
  6. Step 6: Final answer
    x = 350,358,083.95

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.