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Finding the Third Proportional to 138,050,161 and 306,745,490.50

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Solution

The third proportional to 138,050,161 and 306,745,490.50 is: 681,584,108.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050,161 : 306,745,490.50 = 306,745,490.50 : x
  2. Step 2: Convert to fraction form
    138,050,161/306,745,490.50 = 306,745,490.50/x
  3. Step 3: Cross multiply
    138,050,161x = 306,745,490.50 × 306,745,490.50
  4. Step 4: Simplify right side
    138,050,161x = 94,092,795,942,085,584
  5. Step 5: Solve for x
    x = 94,092,795,942,085,584/138,050,161
  6. Step 6: Final answer
    x = 681,584,108.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.