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Finding the Third Proportional to 191,265,652,734 and 418,561,561,884

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Solution

The third proportional to 191,265,652,734 and 418,561,561,884 is: 915,970,947,122.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,265,652,734 : 418,561,561,884 = 418,561,561,884 : x
  2. Step 2: Convert to fraction form
    191,265,652,734/418,561,561,884 = 418,561,561,884/x
  3. Step 3: Cross multiply
    191,265,652,734x = 418,561,561,884 × 418,561,561,884
  4. Step 4: Simplify right side
    191,265,652,734x = 175,193,781,086,773,550,514,176
  5. Step 5: Solve for x
    x = 175,193,781,086,773,550,514,176/191,265,652,734
  6. Step 6: Final answer
    x = 915,970,947,122.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.