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Finding the Third Proportional to 61,732,702 and 131,664,224

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Solution

The third proportional to 61,732,702 and 131,664,224 is: 280,814,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,732,702 : 131,664,224 = 131,664,224 : x
  2. Step 2: Convert to fraction form
    61,732,702/131,664,224 = 131,664,224/x
  3. Step 3: Cross multiply
    61,732,702x = 131,664,224 × 131,664,224
  4. Step 4: Simplify right side
    61,732,702x = 17,335,467,881,522,176
  5. Step 5: Solve for x
    x = 17,335,467,881,522,176/61,732,702
  6. Step 6: Final answer
    x = 280,814,986.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.