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Finding the Third Proportional to 284,723,639.16 and 443,731,945.92

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Solution

The third proportional to 284,723,639.16 and 443,731,945.92 is: 691,540,893.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,723,639.16 : 443,731,945.92 = 443,731,945.92 : x
  2. Step 2: Convert to fraction form
    284,723,639.16/443,731,945.92 = 443,731,945.92/x
  3. Step 3: Cross multiply
    284,723,639.16x = 443,731,945.92 × 443,731,945.92
  4. Step 4: Simplify right side
    284,723,639.16x = 196,898,039,831,600,480
  5. Step 5: Solve for x
    x = 196,898,039,831,600,480/284,723,639.16
  6. Step 6: Final answer
    x = 691,540,893.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.