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Finding the Third Proportional to 100,528.88 and 216,501.75

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Solution

The third proportional to 100,528.88 and 216,501.75 is: 466,264.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,528.88 : 216,501.75 = 216,501.75 : x
  2. Step 2: Convert to fraction form
    100,528.88/216,501.75 = 216,501.75/x
  3. Step 3: Cross multiply
    100,528.88x = 216,501.75 × 216,501.75
  4. Step 4: Simplify right side
    100,528.88x = 46,873,007,753.06
  5. Step 5: Solve for x
    x = 46,873,007,753.06/100,528.88
  6. Step 6: Final answer
    x = 466,264.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.