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Finding the Third Proportional to 89,580,816 and 196,517,664

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Solution

The third proportional to 89,580,816 and 196,517,664 is: 431,110,074.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,580,816 : 196,517,664 = 196,517,664 : x
  2. Step 2: Convert to fraction form
    89,580,816/196,517,664 = 196,517,664/x
  3. Step 3: Cross multiply
    89,580,816x = 196,517,664 × 196,517,664
  4. Step 4: Simplify right side
    89,580,816x = 38,619,192,264,016,896
  5. Step 5: Solve for x
    x = 38,619,192,264,016,896/89,580,816
  6. Step 6: Final answer
    x = 431,110,074.55

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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.