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Finding the Third Proportional to 83,989,311 and 174,683,154

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Solution

The third proportional to 83,989,311 and 174,683,154 is: 363,310,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989,311 : 174,683,154 = 174,683,154 : x
  2. Step 2: Convert to fraction form
    83,989,311/174,683,154 = 174,683,154/x
  3. Step 3: Cross multiply
    83,989,311x = 174,683,154 × 174,683,154
  4. Step 4: Simplify right side
    83,989,311x = 30,514,204,291,387,716
  5. Step 5: Solve for x
    x = 30,514,204,291,387,716/83,989,311
  6. Step 6: Final answer
    x = 363,310,568.07

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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.