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Finding the Third Proportional to 157,676,850 and 339,615,199

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Solution

The third proportional to 157,676,850 and 339,615,199 is: 731,486,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,676,850 : 339,615,199 = 339,615,199 : x
  2. Step 2: Convert to fraction form
    157,676,850/339,615,199 = 339,615,199/x
  3. Step 3: Cross multiply
    157,676,850x = 339,615,199 × 339,615,199
  4. Step 4: Simplify right side
    157,676,850x = 115,338,483,391,809,600
  5. Step 5: Solve for x
    x = 115,338,483,391,809,600/157,676,850
  6. Step 6: Final answer
    x = 731,486,476.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.