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Finding the Third Proportional to 83,015,097.75 and 192,184,032.38

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Solution

The third proportional to 83,015,097.75 and 192,184,032.38 is: 444,915,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,015,097.75 : 192,184,032.38 = 192,184,032.38 : x
  2. Step 2: Convert to fraction form
    83,015,097.75/192,184,032.38 = 192,184,032.38/x
  3. Step 3: Cross multiply
    83,015,097.75x = 192,184,032.38 × 192,184,032.38
  4. Step 4: Simplify right side
    83,015,097.75x = 36,934,702,299,915,048
  5. Step 5: Solve for x
    x = 36,934,702,299,915,048/83,015,097.75
  6. Step 6: Final answer
    x = 444,915,482.86

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.