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Finding the Third Proportional to 98,509.50 and 216,702

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Solution

The third proportional to 98,509.50 and 216,702 is: 476,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,509.50 : 216,702 = 216,702 : x
  2. Step 2: Convert to fraction form
    98,509.50/216,702 = 216,702/x
  3. Step 3: Cross multiply
    98,509.50x = 216,702 × 216,702
  4. Step 4: Simplify right side
    98,509.50x = 46,959,756,804
  5. Step 5: Solve for x
    x = 46,959,756,804/98,509.50
  6. Step 6: Final answer
    x = 476,702.82

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.