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Finding the Third Proportional to 113,809,718.25 and 268,573,957.88

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Solution

The third proportional to 113,809,718.25 and 268,573,957.88 is: 633,794,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,809,718.25 : 268,573,957.88 = 268,573,957.88 : x
  2. Step 2: Convert to fraction form
    113,809,718.25/268,573,957.88 = 268,573,957.88/x
  3. Step 3: Cross multiply
    113,809,718.25x = 268,573,957.88 × 268,573,957.88
  4. Step 4: Simplify right side
    113,809,718.25x = 72,131,970,848,642,272
  5. Step 5: Solve for x
    x = 72,131,970,848,642,272/113,809,718.25
  6. Step 6: Final answer
    x = 633,794,476.94

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.