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Finding the Third Proportional to 41,527,458 and 90,874,291.50

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Solution

The third proportional to 41,527,458 and 90,874,291.50 is: 198,859,676.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527,458 : 90,874,291.50 = 90,874,291.50 : x
  2. Step 2: Convert to fraction form
    41,527,458/90,874,291.50 = 90,874,291.50/x
  3. Step 3: Cross multiply
    41,527,458x = 90,874,291.50 × 90,874,291.50
  4. Step 4: Simplify right side
    41,527,458x = 8,258,136,855,626,972
  5. Step 5: Solve for x
    x = 8,258,136,855,626,972/41,527,458
  6. Step 6: Final answer
    x = 198,859,676.30

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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.