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Finding the Third Proportional to 216,336,262.50 and 440,317,982.25

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Solution

The third proportional to 216,336,262.50 and 440,317,982.25 is: 896,197,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,336,262.50 : 440,317,982.25 = 440,317,982.25 : x
  2. Step 2: Convert to fraction form
    216,336,262.50/440,317,982.25 = 440,317,982.25/x
  3. Step 3: Cross multiply
    216,336,262.50x = 440,317,982.25 × 440,317,982.25
  4. Step 4: Simplify right side
    216,336,262.50x = 193,879,925,492,711,328
  5. Step 5: Solve for x
    x = 193,879,925,492,711,328/216,336,262.50
  6. Step 6: Final answer
    x = 896,197,074.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.