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Finding the Third Proportional to 191,265,652,742 and 418,561,561,900

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Solution

The third proportional to 191,265,652,742 and 418,561,561,900 is: 915,970,947,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,265,652,742 : 418,561,561,900 = 418,561,561,900 : x
  2. Step 2: Convert to fraction form
    191,265,652,742/418,561,561,900 = 418,561,561,900/x
  3. Step 3: Cross multiply
    191,265,652,742x = 418,561,561,900 × 418,561,561,900
  4. Step 4: Simplify right side
    191,265,652,742x = 175,193,781,100,167,540,244,480
  5. Step 5: Solve for x
    x = 175,193,781,100,167,540,244,480/191,265,652,742
  6. Step 6: Final answer
    x = 915,970,947,154.26

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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.