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Finding the Third Proportional to 71,836,186 and 157,578,822

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Solution

The third proportional to 71,836,186 and 157,578,822 is: 345,662,632.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,836,186 : 157,578,822 = 157,578,822 : x
  2. Step 2: Convert to fraction form
    71,836,186/157,578,822 = 157,578,822/x
  3. Step 3: Cross multiply
    71,836,186x = 157,578,822 × 157,578,822
  4. Step 4: Simplify right side
    71,836,186x = 24,831,085,142,907,684
  5. Step 5: Solve for x
    x = 24,831,085,142,907,684/71,836,186
  6. Step 6: Final answer
    x = 345,662,632.24

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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.