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Finding the Third Proportional to 83,989,138 and 174,682,795

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Solution

The third proportional to 83,989,138 and 174,682,795 is: 363,309,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989,138 : 174,682,795 = 174,682,795 : x
  2. Step 2: Convert to fraction form
    83,989,138/174,682,795 = 174,682,795/x
  3. Step 3: Cross multiply
    83,989,138x = 174,682,795 × 174,682,795
  4. Step 4: Simplify right side
    83,989,138x = 30,514,078,869,012,024
  5. Step 5: Solve for x
    x = 30,514,078,869,012,024/83,989,138
  6. Step 6: Final answer
    x = 363,309,823.10

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.