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Finding the Third Proportional to 216,509.63 and 311,873.06

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Solution

The third proportional to 216,509.63 and 311,873.06 is: 449,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,509.63 : 311,873.06 = 311,873.06 : x
  2. Step 2: Convert to fraction form
    216,509.63/311,873.06 = 311,873.06/x
  3. Step 3: Cross multiply
    216,509.63x = 311,873.06 × 311,873.06
  4. Step 4: Simplify right side
    216,509.63x = 97,264,807,113.13
  5. Step 5: Solve for x
    x = 97,264,807,113.13/216,509.63
  6. Step 6: Final answer
    x = 449,240.11

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.