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Finding the Third Proportional to 89,311,734 and 191,545,971

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Solution

The third proportional to 89,311,734 and 191,545,971 is: 410,806,703.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,311,734 : 191,545,971 = 191,545,971 : x
  2. Step 2: Convert to fraction form
    89,311,734/191,545,971 = 191,545,971/x
  3. Step 3: Cross multiply
    89,311,734x = 191,545,971 × 191,545,971
  4. Step 4: Simplify right side
    89,311,734x = 36,689,859,006,332,840
  5. Step 5: Solve for x
    x = 36,689,859,006,332,840/89,311,734
  6. Step 6: Final answer
    x = 410,806,703.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.