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Finding the Third Proportional to 45,936,942 and 100,219,254

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Solution

The third proportional to 45,936,942 and 100,219,254 is: 218,645,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,936,942 : 100,219,254 = 100,219,254 : x
  2. Step 2: Convert to fraction form
    45,936,942/100,219,254 = 100,219,254/x
  3. Step 3: Cross multiply
    45,936,942x = 100,219,254 × 100,219,254
  4. Step 4: Simplify right side
    45,936,942x = 10,043,898,872,316,516
  5. Step 5: Solve for x
    x = 10,043,898,872,316,516/45,936,942
  6. Step 6: Final answer
    x = 218,645,352.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.