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Finding the Third Proportional to 135,947,062.50 and 207,821,745

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Solution

The third proportional to 135,947,062.50 and 207,821,745 is: 317,696,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,947,062.50 : 207,821,745 = 207,821,745 : x
  2. Step 2: Convert to fraction form
    135,947,062.50/207,821,745 = 207,821,745/x
  3. Step 3: Cross multiply
    135,947,062.50x = 207,821,745 × 207,821,745
  4. Step 4: Simplify right side
    135,947,062.50x = 43,189,877,694,845,024
  5. Step 5: Solve for x
    x = 43,189,877,694,845,024/135,947,062.50
  6. Step 6: Final answer
    x = 317,696,292.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.