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Finding the Third Proportional to 101,746.75 and 221,009.50

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Solution

The third proportional to 101,746.75 and 221,009.50 is: 480,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,746.75 : 221,009.50 = 221,009.50 : x
  2. Step 2: Convert to fraction form
    101,746.75/221,009.50 = 221,009.50/x
  3. Step 3: Cross multiply
    101,746.75x = 221,009.50 × 221,009.50
  4. Step 4: Simplify right side
    101,746.75x = 48,845,199,090.25
  5. Step 5: Solve for x
    x = 48,845,199,090.25/101,746.75
  6. Step 6: Final answer
    x = 480,066.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.