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Finding the Third Proportional to 216,422,272.50 and 454,102,182

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Solution

The third proportional to 216,422,272.50 and 454,102,182 is: 952,807,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,422,272.50 : 454,102,182 = 454,102,182 : x
  2. Step 2: Convert to fraction form
    216,422,272.50/454,102,182 = 454,102,182/x
  3. Step 3: Cross multiply
    216,422,272.50x = 454,102,182 × 454,102,182
  4. Step 4: Simplify right side
    216,422,272.50x = 206,208,791,697,161,120
  5. Step 5: Solve for x
    x = 206,208,791,697,161,120/216,422,272.50
  6. Step 6: Final answer
    x = 952,807,626.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.