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Finding the Third Proportional to 72,954,290 and 113,848,203

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Solution

The third proportional to 72,954,290 and 113,848,203 is: 177,664,854.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,954,290 : 113,848,203 = 113,848,203 : x
  2. Step 2: Convert to fraction form
    72,954,290/113,848,203 = 113,848,203/x
  3. Step 3: Cross multiply
    72,954,290x = 113,848,203 × 113,848,203
  4. Step 4: Simplify right side
    72,954,290x = 12,961,413,326,329,208
  5. Step 5: Solve for x
    x = 12,961,413,326,329,208/72,954,290
  6. Step 6: Final answer
    x = 177,664,854.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.