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Finding the Third Proportional to 65,659,549.50 and 100,714,731.75

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Solution

The third proportional to 65,659,549.50 and 100,714,731.75 is: 154,485,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,659,549.50 : 100,714,731.75 = 100,714,731.75 : x
  2. Step 2: Convert to fraction form
    65,659,549.50/100,714,731.75 = 100,714,731.75/x
  3. Step 3: Cross multiply
    65,659,549.50x = 100,714,731.75 × 100,714,731.75
  4. Step 4: Simplify right side
    65,659,549.50x = 10,143,457,191,474,458
  5. Step 5: Solve for x
    x = 10,143,457,191,474,458/65,659,549.50
  6. Step 6: Final answer
    x = 154,485,634.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.