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Finding the Third Proportional to 83,989,305 and 174,683,142

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Solution

The third proportional to 83,989,305 and 174,683,142 is: 363,310,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,989,305 : 174,683,142 = 174,683,142 : x
  2. Step 2: Convert to fraction form
    83,989,305/174,683,142 = 174,683,142/x
  3. Step 3: Cross multiply
    83,989,305x = 174,683,142 × 174,683,142
  4. Step 4: Simplify right side
    83,989,305x = 30,514,200,098,992,164
  5. Step 5: Solve for x
    x = 30,514,200,098,992,164/83,989,305
  6. Step 6: Final answer
    x = 363,310,544.11

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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.