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Finding the Third Proportional to 89,465,947 and 195,678,805

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Solution

The third proportional to 89,465,947 and 195,678,805 is: 427,986,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,465,947 : 195,678,805 = 195,678,805 : x
  2. Step 2: Convert to fraction form
    89,465,947/195,678,805 = 195,678,805/x
  3. Step 3: Cross multiply
    89,465,947x = 195,678,805 × 195,678,805
  4. Step 4: Simplify right side
    89,465,947x = 38,290,194,726,228,024
  5. Step 5: Solve for x
    x = 38,290,194,726,228,024/89,465,947
  6. Step 6: Final answer
    x = 427,986,245.16

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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.