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Finding the Third Proportional to 109,090,541 and 242,396,194

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Solution

The third proportional to 109,090,541 and 242,396,194 is: 538,597,703.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090,541 : 242,396,194 = 242,396,194 : x
  2. Step 2: Convert to fraction form
    109,090,541/242,396,194 = 242,396,194/x
  3. Step 3: Cross multiply
    109,090,541x = 242,396,194 × 242,396,194
  4. Step 4: Simplify right side
    109,090,541x = 58,755,914,865,685,632
  5. Step 5: Solve for x
    x = 58,755,914,865,685,632/109,090,541
  6. Step 6: Final answer
    x = 538,597,703.59

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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.