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Finding the Third Proportional to 73,823,644.50 and 161,543,122.50

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Solution

The third proportional to 73,823,644.50 and 161,543,122.50 is: 353,493,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,823,644.50 : 161,543,122.50 = 161,543,122.50 : x
  2. Step 2: Convert to fraction form
    73,823,644.50/161,543,122.50 = 161,543,122.50/x
  3. Step 3: Cross multiply
    73,823,644.50x = 161,543,122.50 × 161,543,122.50
  4. Step 4: Simplify right side
    73,823,644.50x = 26,096,180,427,050,008
  5. Step 5: Solve for x
    x = 26,096,180,427,050,008/73,823,644.50
  6. Step 6: Final answer
    x = 353,493,526.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.