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Finding the Third Proportional to 78,171,273 and 169,210,098

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Solution

The third proportional to 78,171,273 and 169,210,098 is: 366,273,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,171,273 : 169,210,098 = 169,210,098 : x
  2. Step 2: Convert to fraction form
    78,171,273/169,210,098 = 169,210,098/x
  3. Step 3: Cross multiply
    78,171,273x = 169,210,098 × 169,210,098
  4. Step 4: Simplify right side
    78,171,273x = 28,632,057,265,169,604
  5. Step 5: Solve for x
    x = 28,632,057,265,169,604/78,171,273
  6. Step 6: Final answer
    x = 366,273,391.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.