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Finding the Third Proportional to 98,533.50 and 215,470

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Solution

The third proportional to 98,533.50 and 215,470 is: 471,183.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,533.50 : 215,470 = 215,470 : x
  2. Step 2: Convert to fraction form
    98,533.50/215,470 = 215,470/x
  3. Step 3: Cross multiply
    98,533.50x = 215,470 × 215,470
  4. Step 4: Simplify right side
    98,533.50x = 46,427,320,900
  5. Step 5: Solve for x
    x = 46,427,320,900/98,533.50
  6. Step 6: Final answer
    x = 471,183.11

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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.