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Finding the Third Proportional to 83,276,036 and 180,438,436

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Solution

The third proportional to 83,276,036 and 180,438,436 is: 390,965,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,276,036 : 180,438,436 = 180,438,436 : x
  2. Step 2: Convert to fraction form
    83,276,036/180,438,436 = 180,438,436/x
  3. Step 3: Cross multiply
    83,276,036x = 180,438,436 × 180,438,436
  4. Step 4: Simplify right side
    83,276,036x = 32,558,029,186,126,096
  5. Step 5: Solve for x
    x = 32,558,029,186,126,096/83,276,036
  6. Step 6: Final answer
    x = 390,965,165.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.