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Finding the Third Proportional to 23,140,921.50 and 48,197,196

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Solution

The third proportional to 23,140,921.50 and 48,197,196 is: 100,383,630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140,921.50 : 48,197,196 = 48,197,196 : x
  2. Step 2: Convert to fraction form
    23,140,921.50/48,197,196 = 48,197,196/x
  3. Step 3: Cross multiply
    23,140,921.50x = 48,197,196 × 48,197,196
  4. Step 4: Simplify right side
    23,140,921.50x = 2,322,969,702,262,416
  5. Step 5: Solve for x
    x = 2,322,969,702,262,416/23,140,921.50
  6. Step 6: Final answer
    x = 100,383,630.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.