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Finding the Third Proportional to 98,720.63 and 213,202.13

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Solution

The third proportional to 98,720.63 and 213,202.13 is: 460,442.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,720.63 : 213,202.13 = 213,202.13 : x
  2. Step 2: Convert to fraction form
    98,720.63/213,202.13 = 213,202.13/x
  3. Step 3: Cross multiply
    98,720.63x = 213,202.13 × 213,202.13
  4. Step 4: Simplify right side
    98,720.63x = 45,455,146,104.52
  5. Step 5: Solve for x
    x = 45,455,146,104.52/98,720.63
  6. Step 6: Final answer
    x = 460,442.24

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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.