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Finding the Third Proportional to 122,868,564 and 263,971,758

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Solution

The third proportional to 122,868,564 and 263,971,758 is: 567,118,933.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,868,564 : 263,971,758 = 263,971,758 : x
  2. Step 2: Convert to fraction form
    122,868,564/263,971,758 = 263,971,758/x
  3. Step 3: Cross multiply
    122,868,564x = 263,971,758 × 263,971,758
  4. Step 4: Simplify right side
    122,868,564x = 69,681,089,021,610,560
  5. Step 5: Solve for x
    x = 69,681,089,021,610,560/122,868,564
  6. Step 6: Final answer
    x = 567,118,933.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.