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Finding the Third Proportional to 35,098,677.50 and 78,263,105.50

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Solution

The third proportional to 35,098,677.50 and 78,263,105.50 is: 174,511,238.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,098,677.50 : 78,263,105.50 = 78,263,105.50 : x
  2. Step 2: Convert to fraction form
    35,098,677.50/78,263,105.50 = 78,263,105.50/x
  3. Step 3: Cross multiply
    35,098,677.50x = 78,263,105.50 × 78,263,105.50
  4. Step 4: Simplify right side
    35,098,677.50x = 6,125,113,682,504,130
  5. Step 5: Solve for x
    x = 6,125,113,682,504,130/35,098,677.50
  6. Step 6: Final answer
    x = 174,511,238.56

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.