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Finding the Third Proportional to 112,043,489,840 and 241,976,504,084.50

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Solution

The third proportional to 112,043,489,840 and 241,976,504,084.50 is: 522,588,403,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,043,489,840 : 241,976,504,084.50 = 241,976,504,084.50 : x
  2. Step 2: Convert to fraction form
    112,043,489,840/241,976,504,084.50 = 241,976,504,084.50/x
  3. Step 3: Cross multiply
    112,043,489,840x = 241,976,504,084.50 × 241,976,504,084.50
  4. Step 4: Simplify right side
    112,043,489,840x = 58,552,628,528,956,045,262,848
  5. Step 5: Solve for x
    x = 58,552,628,528,956,045,262,848/112,043,489,840
  6. Step 6: Final answer
    x = 522,588,403,954.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.