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Finding the Third Proportional to 104,843,767.50 and 164,110,596.75

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Solution

The third proportional to 104,843,767.50 and 164,110,596.75 is: 256,880,200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,843,767.50 : 164,110,596.75 = 164,110,596.75 : x
  2. Step 2: Convert to fraction form
    104,843,767.50/164,110,596.75 = 164,110,596.75/x
  3. Step 3: Cross multiply
    104,843,767.50x = 164,110,596.75 × 164,110,596.75
  4. Step 4: Simplify right side
    104,843,767.50x = 26,932,287,965,641,112
  5. Step 5: Solve for x
    x = 26,932,287,965,641,112/104,843,767.50
  6. Step 6: Final answer
    x = 256,880,200.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.