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Finding the Third Proportional to 98,177.06 and 212,019.19

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Solution

The third proportional to 98,177.06 and 212,019.19 is: 457,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,177.06 : 212,019.19 = 212,019.19 : x
  2. Step 2: Convert to fraction form
    98,177.06/212,019.19 = 212,019.19/x
  3. Step 3: Cross multiply
    98,177.06x = 212,019.19 × 212,019.19
  4. Step 4: Simplify right side
    98,177.06x = 44,952,135,868.16
  5. Step 5: Solve for x
    x = 44,952,135,868.16/98,177.06
  6. Step 6: Final answer
    x = 457,868.01

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Why These Related Problems?

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