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Finding the Third Proportional to 83,639,961 and 117,575,505.50

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Solution

The third proportional to 83,639,961 and 117,575,505.50 is: 165,279,841.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,639,961 : 117,575,505.50 = 117,575,505.50 : x
  2. Step 2: Convert to fraction form
    83,639,961/117,575,505.50 = 117,575,505.50/x
  3. Step 3: Cross multiply
    83,639,961x = 117,575,505.50 × 117,575,505.50
  4. Step 4: Simplify right side
    83,639,961x = 13,823,999,493,580,530
  5. Step 5: Solve for x
    x = 13,823,999,493,580,530/83,639,961
  6. Step 6: Final answer
    x = 165,279,841.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.