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Finding the Third Proportional to 98,898.75 and 233,246.25

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Solution

The third proportional to 98,898.75 and 233,246.25 is: 550,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,898.75 : 233,246.25 = 233,246.25 : x
  2. Step 2: Convert to fraction form
    98,898.75/233,246.25 = 233,246.25/x
  3. Step 3: Cross multiply
    98,898.75x = 233,246.25 × 233,246.25
  4. Step 4: Simplify right side
    98,898.75x = 54,403,813,139.06
  5. Step 5: Solve for x
    x = 54,403,813,139.06/98,898.75
  6. Step 6: Final answer
    x = 550,096.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.