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Finding the Third Proportional to 105,656.50 and 216,171.50

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Solution

The third proportional to 105,656.50 and 216,171.50 is: 442,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,656.50 : 216,171.50 = 216,171.50 : x
  2. Step 2: Convert to fraction form
    105,656.50/216,171.50 = 216,171.50/x
  3. Step 3: Cross multiply
    105,656.50x = 216,171.50 × 216,171.50
  4. Step 4: Simplify right side
    105,656.50x = 46,730,117,412.25
  5. Step 5: Solve for x
    x = 46,730,117,412.25/105,656.50
  6. Step 6: Final answer
    x = 442,283.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.