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Finding the Third Proportional to 89,465,944 and 195,678,800

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Solution

The third proportional to 89,465,944 and 195,678,800 is: 427,986,237.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,465,944 : 195,678,800 = 195,678,800 : x
  2. Step 2: Convert to fraction form
    89,465,944/195,678,800 = 195,678,800/x
  3. Step 3: Cross multiply
    89,465,944x = 195,678,800 × 195,678,800
  4. Step 4: Simplify right side
    89,465,944x = 38,290,192,769,440,000
  5. Step 5: Solve for x
    x = 38,290,192,769,440,000/89,465,944
  6. Step 6: Final answer
    x = 427,986,237.64

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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.