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Finding the Third Proportional to 214,814,065.50 and 318,193,373.25

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Solution

The third proportional to 214,814,065.50 and 318,193,373.25 is: 471,323,991.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,814,065.50 : 318,193,373.25 = 318,193,373.25 : x
  2. Step 2: Convert to fraction form
    214,814,065.50/318,193,373.25 = 318,193,373.25/x
  3. Step 3: Cross multiply
    214,814,065.50x = 318,193,373.25 × 318,193,373.25
  4. Step 4: Simplify right side
    214,814,065.50x = 101,247,022,780,213,808
  5. Step 5: Solve for x
    x = 101,247,022,780,213,808/214,814,065.50
  6. Step 6: Final answer
    x = 471,323,991.49

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.