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Finding the Third Proportional to 98,829.75 and 212,669.25

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Solution

The third proportional to 98,829.75 and 212,669.25 is: 457,637.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,829.75 : 212,669.25 = 212,669.25 : x
  2. Step 2: Convert to fraction form
    98,829.75/212,669.25 = 212,669.25/x
  3. Step 3: Cross multiply
    98,829.75x = 212,669.25 × 212,669.25
  4. Step 4: Simplify right side
    98,829.75x = 45,228,209,895.56
  5. Step 5: Solve for x
    x = 45,228,209,895.56/98,829.75
  6. Step 6: Final answer
    x = 457,637.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.