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Finding the Third Proportional to 81,590,964.75 and 177,381,573.75

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Solution

The third proportional to 81,590,964.75 and 177,381,573.75 is: 385,633,664.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,590,964.75 : 177,381,573.75 = 177,381,573.75 : x
  2. Step 2: Convert to fraction form
    81,590,964.75/177,381,573.75 = 177,381,573.75/x
  3. Step 3: Cross multiply
    81,590,964.75x = 177,381,573.75 × 177,381,573.75
  4. Step 4: Simplify right side
    81,590,964.75x = 31,464,222,706,026,688
  5. Step 5: Solve for x
    x = 31,464,222,706,026,688/81,590,964.75
  6. Step 6: Final answer
    x = 385,633,664.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.