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Finding the Third Proportional to 23,070,094.50 and 50,100,990.75

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Solution

The third proportional to 23,070,094.50 and 50,100,990.75 is: 108,803,597.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,070,094.50 : 50,100,990.75 = 50,100,990.75 : x
  2. Step 2: Convert to fraction form
    23,070,094.50/50,100,990.75 = 50,100,990.75/x
  3. Step 3: Cross multiply
    23,070,094.50x = 50,100,990.75 × 50,100,990.75
  4. Step 4: Simplify right side
    23,070,094.50x = 2,510,109,274,131,585.50
  5. Step 5: Solve for x
    x = 2,510,109,274,131,585.50/23,070,094.50
  6. Step 6: Final answer
    x = 108,803,597.41

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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.