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Finding the Third Proportional to 121,353,908 and 267,443,606

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Solution

The third proportional to 121,353,908 and 267,443,606 is: 589,400,733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,353,908 : 267,443,606 = 267,443,606 : x
  2. Step 2: Convert to fraction form
    121,353,908/267,443,606 = 267,443,606/x
  3. Step 3: Cross multiply
    121,353,908x = 267,443,606 × 267,443,606
  4. Step 4: Simplify right side
    121,353,908x = 71,526,082,390,283,232
  5. Step 5: Solve for x
    x = 71,526,082,390,283,232/121,353,908
  6. Step 6: Final answer
    x = 589,400,733.52

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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.