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Finding the Third Proportional to 216,852.75 and 469,905.75

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Solution

The third proportional to 216,852.75 and 469,905.75 is: 1,018,255.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,852.75 : 469,905.75 = 469,905.75 : x
  2. Step 2: Convert to fraction form
    216,852.75/469,905.75 = 469,905.75/x
  3. Step 3: Cross multiply
    216,852.75x = 469,905.75 × 469,905.75
  4. Step 4: Simplify right side
    216,852.75x = 220,811,413,883.06
  5. Step 5: Solve for x
    x = 220,811,413,883.06/216,852.75
  6. Step 6: Final answer
    x = 1,018,255.08

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.