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Finding the Third Proportional to 208,111.78 and 455,430.09

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Solution

The third proportional to 208,111.78 and 455,430.09 is: 996,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,111.78 : 455,430.09 = 455,430.09 : x
  2. Step 2: Convert to fraction form
    208,111.78/455,430.09 = 455,430.09/x
  3. Step 3: Cross multiply
    208,111.78x = 455,430.09 × 455,430.09
  4. Step 4: Simplify right side
    208,111.78x = 207,416,570,293.13
  5. Step 5: Solve for x
    x = 207,416,570,293.13/208,111.78
  6. Step 6: Final answer
    x = 996,659.43

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.