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Finding the Third Proportional to 57,973,869 and 122,657,152.50

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Solution

The third proportional to 57,973,869 and 122,657,152.50 is: 259,509,625.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,973,869 : 122,657,152.50 = 122,657,152.50 : x
  2. Step 2: Convert to fraction form
    57,973,869/122,657,152.50 = 122,657,152.50/x
  3. Step 3: Cross multiply
    57,973,869x = 122,657,152.50 × 122,657,152.50
  4. Step 4: Simplify right side
    57,973,869x = 15,044,777,059,408,256
  5. Step 5: Solve for x
    x = 15,044,777,059,408,256/57,973,869
  6. Step 6: Final answer
    x = 259,509,625.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.