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Finding the Third Proportional to 41,707,398 and 90,829,411.50

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Solution

The third proportional to 41,707,398 and 90,829,411.50 is: 197,806,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,707,398 : 90,829,411.50 = 90,829,411.50 : x
  2. Step 2: Convert to fraction form
    41,707,398/90,829,411.50 = 90,829,411.50/x
  3. Step 3: Cross multiply
    41,707,398x = 90,829,411.50 × 90,829,411.50
  4. Step 4: Simplify right side
    41,707,398x = 8,249,981,993,436,332
  5. Step 5: Solve for x
    x = 8,249,981,993,436,332/41,707,398
  6. Step 6: Final answer
    x = 197,806,201.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.