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Finding the Third Proportional to 47,886.50 and 97,140

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Solution

The third proportional to 47,886.50 and 97,140 is: 197,053.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,886.50 : 97,140 = 97,140 : x
  2. Step 2: Convert to fraction form
    47,886.50/97,140 = 97,140/x
  3. Step 3: Cross multiply
    47,886.50x = 97,140 × 97,140
  4. Step 4: Simplify right side
    47,886.50x = 9,436,179,600
  5. Step 5: Solve for x
    x = 9,436,179,600/47,886.50
  6. Step 6: Final answer
    x = 197,053.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.