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Finding the Third Proportional to 223,932,080,224 and 493,508,650,112

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Solution

The third proportional to 223,932,080,224 and 493,508,650,112 is: 1,087,610,080,216.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,932,080,224 : 493,508,650,112 = 493,508,650,112 : x
  2. Step 2: Convert to fraction form
    223,932,080,224/493,508,650,112 = 493,508,650,112/x
  3. Step 3: Cross multiply
    223,932,080,224x = 493,508,650,112 × 493,508,650,112
  4. Step 4: Simplify right side
    223,932,080,224x = 243,550,787,735,368,446,771,200
  5. Step 5: Solve for x
    x = 243,550,787,735,368,446,771,200/223,932,080,224
  6. Step 6: Final answer
    x = 1,087,610,080,216.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.