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Finding the Third Proportional to 78,718,996 and 170,818,680

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Solution

The third proportional to 78,718,996 and 170,818,680 is: 370,673,190.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,718,996 : 170,818,680 = 170,818,680 : x
  2. Step 2: Convert to fraction form
    78,718,996/170,818,680 = 170,818,680/x
  3. Step 3: Cross multiply
    78,718,996x = 170,818,680 × 170,818,680
  4. Step 4: Simplify right side
    78,718,996x = 29,179,021,436,942,400
  5. Step 5: Solve for x
    x = 29,179,021,436,942,400/78,718,996
  6. Step 6: Final answer
    x = 370,673,190.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.