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Finding the Third Proportional to 205,390.69 and 448,147.69

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Solution

The third proportional to 205,390.69 and 448,147.69 is: 977,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,390.69 : 448,147.69 = 448,147.69 : x
  2. Step 2: Convert to fraction form
    205,390.69/448,147.69 = 448,147.69/x
  3. Step 3: Cross multiply
    205,390.69x = 448,147.69 × 448,147.69
  4. Step 4: Simplify right side
    205,390.69x = 200,836,349,811.60
  5. Step 5: Solve for x
    x = 200,836,349,811.60/205,390.69
  6. Step 6: Final answer
    x = 977,825.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.