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Finding the Third Proportional to 185,946,396.75 and 405,373,622.63

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Solution

The third proportional to 185,946,396.75 and 405,373,622.63 is: 883,737,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,946,396.75 : 405,373,622.63 = 405,373,622.63 : x
  2. Step 2: Convert to fraction form
    185,946,396.75/405,373,622.63 = 405,373,622.63/x
  3. Step 3: Cross multiply
    185,946,396.75x = 405,373,622.63 × 405,373,622.63
  4. Step 4: Simplify right side
    185,946,396.75x = 164,327,773,920,115,904
  5. Step 5: Solve for x
    x = 164,327,773,920,115,904/185,946,396.75
  6. Step 6: Final answer
    x = 883,737,339.32

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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.