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Finding the Third Proportional to 41,527,147 and 90,870,005

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Solution

The third proportional to 41,527,147 and 90,870,005 is: 198,842,405.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,527,147 : 90,870,005 = 90,870,005 : x
  2. Step 2: Convert to fraction form
    41,527,147/90,870,005 = 90,870,005/x
  3. Step 3: Cross multiply
    41,527,147x = 90,870,005 × 90,870,005
  4. Step 4: Simplify right side
    41,527,147x = 8,257,357,808,700,025
  5. Step 5: Solve for x
    x = 8,257,357,808,700,025/41,527,147
  6. Step 6: Final answer
    x = 198,842,405.64

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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.