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Finding the Third Proportional to 117,707,559.75 and 193,817,787.19

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Solution

The third proportional to 117,707,559.75 and 193,817,787.19 is: 319,141,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,707,559.75 : 193,817,787.19 = 193,817,787.19 : x
  2. Step 2: Convert to fraction form
    117,707,559.75/193,817,787.19 = 193,817,787.19/x
  3. Step 3: Cross multiply
    117,707,559.75x = 193,817,787.19 × 193,817,787.19
  4. Step 4: Simplify right side
    117,707,559.75x = 37,565,334,630,259,040
  5. Step 5: Solve for x
    x = 37,565,334,630,259,040/117,707,559.75
  6. Step 6: Final answer
    x = 319,141,223.47

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.