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Finding the Third Proportional to 218,107.69 and 456,080.63

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Solution

The third proportional to 218,107.69 and 456,080.63 is: 953,701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,107.69 : 456,080.63 = 456,080.63 : x
  2. Step 2: Convert to fraction form
    218,107.69/456,080.63 = 456,080.63/x
  3. Step 3: Cross multiply
    218,107.69x = 456,080.63 × 456,080.63
  4. Step 4: Simplify right side
    218,107.69x = 208,009,536,500.39
  5. Step 5: Solve for x
    x = 208,009,536,500.39/218,107.69
  6. Step 6: Final answer
    x = 953,701.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.