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Finding the Third Proportional to 98,903.25 and 216,760.50

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Solution

The third proportional to 98,903.25 and 216,760.50 is: 475,061.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,903.25 : 216,760.50 = 216,760.50 : x
  2. Step 2: Convert to fraction form
    98,903.25/216,760.50 = 216,760.50/x
  3. Step 3: Cross multiply
    98,903.25x = 216,760.50 × 216,760.50
  4. Step 4: Simplify right side
    98,903.25x = 46,985,114,360.25
  5. Step 5: Solve for x
    x = 46,985,114,360.25/98,903.25
  6. Step 6: Final answer
    x = 475,061.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.