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Finding the Third Proportional to 135,573,657.09 and 190,917,584.17

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Solution

The third proportional to 135,573,657.09 and 190,917,584.17 is: 268,854,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,573,657.09 : 190,917,584.17 = 190,917,584.17 : x
  2. Step 2: Convert to fraction form
    135,573,657.09/190,917,584.17 = 190,917,584.17/x
  3. Step 3: Cross multiply
    135,573,657.09x = 190,917,584.17 × 190,917,584.17
  4. Step 4: Simplify right side
    135,573,657.09x = 36,449,523,946,026,888
  5. Step 5: Solve for x
    x = 36,449,523,946,026,888/135,573,657.09
  6. Step 6: Final answer
    x = 268,854,029.07

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.