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Finding the Third Proportional to 185,946,401.25 and 405,373,632.75

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Solution

The third proportional to 185,946,401.25 and 405,373,632.75 is: 883,737,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946,401.25 : 405,373,632.75 = 405,373,632.75 : x
  2. Step 2: Convert to fraction form
    185,946,401.25/405,373,632.75 = 405,373,632.75/x
  3. Step 3: Cross multiply
    185,946,401.25x = 405,373,632.75 × 405,373,632.75
  4. Step 4: Simplify right side
    185,946,401.25x = 164,327,782,128,931,872
  5. Step 5: Solve for x
    x = 164,327,782,128,931,872/185,946,401.25
  6. Step 6: Final answer
    x = 883,737,362.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.