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Finding the Third Proportional to 41,527,456.50 and 90,874,288.50

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Solution

The third proportional to 41,527,456.50 and 90,874,288.50 is: 198,859,670.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527,456.50 : 90,874,288.50 = 90,874,288.50 : x
  2. Step 2: Convert to fraction form
    41,527,456.50/90,874,288.50 = 90,874,288.50/x
  3. Step 3: Cross multiply
    41,527,456.50x = 90,874,288.50 × 90,874,288.50
  4. Step 4: Simplify right side
    41,527,456.50x = 8,258,136,310,381,232
  5. Step 5: Solve for x
    x = 8,258,136,310,381,232/41,527,456.50
  6. Step 6: Final answer
    x = 198,859,670.36

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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.