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Finding the Third Proportional to 211,586,080.50 and 326,812,144.50

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Solution

The third proportional to 211,586,080.50 and 326,812,144.50 is: 504,788,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,586,080.50 : 326,812,144.50 = 326,812,144.50 : x
  2. Step 2: Convert to fraction form
    211,586,080.50/326,812,144.50 = 326,812,144.50/x
  3. Step 3: Cross multiply
    211,586,080.50x = 326,812,144.50 × 326,812,144.50
  4. Step 4: Simplify right side
    211,586,080.50x = 106,806,177,792,688,880
  5. Step 5: Solve for x
    x = 106,806,177,792,688,880/211,586,080.50
  6. Step 6: Final answer
    x = 504,788,299.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.