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Finding the Third Proportional to 173,297,290 and 380,608,532

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Solution

The third proportional to 173,297,290 and 380,608,532 is: 835,921,061.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,297,290 : 380,608,532 = 380,608,532 : x
  2. Step 2: Convert to fraction form
    173,297,290/380,608,532 = 380,608,532/x
  3. Step 3: Cross multiply
    173,297,290x = 380,608,532 × 380,608,532
  4. Step 4: Simplify right side
    173,297,290x = 144,862,854,631,195,008
  5. Step 5: Solve for x
    x = 144,862,854,631,195,008/173,297,290
  6. Step 6: Final answer
    x = 835,921,061.61

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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.