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Finding the Third Proportional to 208,112.63 and 448,621.88

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Solution

The third proportional to 208,112.63 and 448,621.88 is: 967,080.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,112.63 : 448,621.88 = 448,621.88 : x
  2. Step 2: Convert to fraction form
    208,112.63/448,621.88 = 448,621.88/x
  3. Step 3: Cross multiply
    208,112.63x = 448,621.88 × 448,621.88
  4. Step 4: Simplify right side
    208,112.63x = 201,261,586,728.52
  5. Step 5: Solve for x
    x = 201,261,586,728.52/208,112.63
  6. Step 6: Final answer
    x = 967,080.14

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.