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Finding the Third Proportional to 98,220.09 and 212,090.91

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Solution

The third proportional to 98,220.09 and 212,090.91 is: 457,977.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,220.09 : 212,090.91 = 212,090.91 : x
  2. Step 2: Convert to fraction form
    98,220.09/212,090.91 = 212,090.91/x
  3. Step 3: Cross multiply
    98,220.09x = 212,090.91 × 212,090.91
  4. Step 4: Simplify right side
    98,220.09x = 44,982,552,513.95
  5. Step 5: Solve for x
    x = 44,982,552,513.95/98,220.09
  6. Step 6: Final answer
    x = 457,977.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.