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Finding the Third Proportional to 47,662.59 and 102,713.06

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Solution

The third proportional to 47,662.59 and 102,713.06 is: 221,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.59 : 102,713.06 = 102,713.06 : x
  2. Step 2: Convert to fraction form
    47,662.59/102,713.06 = 102,713.06/x
  3. Step 3: Cross multiply
    47,662.59x = 102,713.06 × 102,713.06
  4. Step 4: Simplify right side
    47,662.59x = 10,549,973,208.13
  5. Step 5: Solve for x
    x = 10,549,973,208.13/47,662.59
  6. Step 6: Final answer
    x = 221,347.02

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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.