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Finding the Third Proportional to 73,286,559 and 161,097,805.50

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Solution

The third proportional to 73,286,559 and 161,097,805.50 is: 354,123,638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,286,559 : 161,097,805.50 = 161,097,805.50 : x
  2. Step 2: Convert to fraction form
    73,286,559/161,097,805.50 = 161,097,805.50/x
  3. Step 3: Cross multiply
    73,286,559x = 161,097,805.50 × 161,097,805.50
  4. Step 4: Simplify right side
    73,286,559x = 25,952,502,936,915,832
  5. Step 5: Solve for x
    x = 25,952,502,936,915,832/73,286,559
  6. Step 6: Final answer
    x = 354,123,638.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.