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Finding the Third Proportional to 195,093,317 and 460,385,309.25

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Solution

The third proportional to 195,093,317 and 460,385,309.25 is: 1,086,426,927.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,093,317 : 460,385,309.25 = 460,385,309.25 : x
  2. Step 2: Convert to fraction form
    195,093,317/460,385,309.25 = 460,385,309.25/x
  3. Step 3: Cross multiply
    195,093,317x = 460,385,309.25 × 460,385,309.25
  4. Step 4: Simplify right side
    195,093,317x = 211,954,632,973,218,144
  5. Step 5: Solve for x
    x = 211,954,632,973,218,144/195,093,317
  6. Step 6: Final answer
    x = 1,086,426,927.55

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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.