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Finding the Third Proportional to 121,286,394 and 263,823,408

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Solution

The third proportional to 121,286,394 and 263,823,408 is: 573,871,382.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,286,394 : 263,823,408 = 263,823,408 : x
  2. Step 2: Convert to fraction form
    121,286,394/263,823,408 = 263,823,408/x
  3. Step 3: Cross multiply
    121,286,394x = 263,823,408 × 263,823,408
  4. Step 4: Simplify right side
    121,286,394x = 69,602,790,608,734,464
  5. Step 5: Solve for x
    x = 69,602,790,608,734,464/121,286,394
  6. Step 6: Final answer
    x = 573,871,382.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.