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Finding the Third Proportional to 98,984.50 and 215,835.50

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Solution

The third proportional to 98,984.50 and 215,835.50 is: 470,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,984.50 : 215,835.50 = 215,835.50 : x
  2. Step 2: Convert to fraction form
    98,984.50/215,835.50 = 215,835.50/x
  3. Step 3: Cross multiply
    98,984.50x = 215,835.50 × 215,835.50
  4. Step 4: Simplify right side
    98,984.50x = 46,584,963,060.25
  5. Step 5: Solve for x
    x = 46,584,963,060.25/98,984.50
  6. Step 6: Final answer
    x = 470,628.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.