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Finding the Third Proportional to 47,348.63 and 105,207

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Solution

The third proportional to 47,348.63 and 105,207 is: 233,766.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,348.63 : 105,207 = 105,207 : x
  2. Step 2: Convert to fraction form
    47,348.63/105,207 = 105,207/x
  3. Step 3: Cross multiply
    47,348.63x = 105,207 × 105,207
  4. Step 4: Simplify right side
    47,348.63x = 11,068,512,849
  5. Step 5: Solve for x
    x = 11,068,512,849/47,348.63
  6. Step 6: Final answer
    x = 233,766.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.