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Finding the Third Proportional to 102,485.25 and 216,681.75

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Solution

The third proportional to 102,485.25 and 216,681.75 is: 458,124.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,485.25 : 216,681.75 = 216,681.75 : x
  2. Step 2: Convert to fraction form
    102,485.25/216,681.75 = 216,681.75/x
  3. Step 3: Cross multiply
    102,485.25x = 216,681.75 × 216,681.75
  4. Step 4: Simplify right side
    102,485.25x = 46,950,980,783.06
  5. Step 5: Solve for x
    x = 46,950,980,783.06/102,485.25
  6. Step 6: Final answer
    x = 458,124.27

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.