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Finding the Third Proportional to 35,090,877 and 78,250,231.50

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Solution

The third proportional to 35,090,877 and 78,250,231.50 is: 174,492,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,090,877 : 78,250,231.50 = 78,250,231.50 : x
  2. Step 2: Convert to fraction form
    35,090,877/78,250,231.50 = 78,250,231.50/x
  3. Step 3: Cross multiply
    35,090,877x = 78,250,231.50 × 78,250,231.50
  4. Step 4: Simplify right side
    35,090,877x = 6,123,098,729,803,592
  5. Step 5: Solve for x
    x = 6,123,098,729,803,592/35,090,877
  6. Step 6: Final answer
    x = 174,492,610.42

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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.