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Finding the Third Proportional to 83,989,296 and 174,683,124

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Solution

The third proportional to 83,989,296 and 174,683,124 is: 363,310,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989,296 : 174,683,124 = 174,683,124 : x
  2. Step 2: Convert to fraction form
    83,989,296/174,683,124 = 174,683,124/x
  3. Step 3: Cross multiply
    83,989,296x = 174,683,124 × 174,683,124
  4. Step 4: Simplify right side
    83,989,296x = 30,514,193,810,399,376
  5. Step 5: Solve for x
    x = 30,514,193,810,399,376/83,989,296
  6. Step 6: Final answer
    x = 363,310,508.17

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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.