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Finding the Third Proportional to 211,012,827 and 318,724,236

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Solution

The third proportional to 211,012,827 and 318,724,236 is: 481,416,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,012,827 : 318,724,236 = 318,724,236 : x
  2. Step 2: Convert to fraction form
    211,012,827/318,724,236 = 318,724,236/x
  3. Step 3: Cross multiply
    211,012,827x = 318,724,236 × 318,724,236
  4. Step 4: Simplify right side
    211,012,827x = 101,585,138,613,783,696
  5. Step 5: Solve for x
    x = 101,585,138,613,783,696/211,012,827
  6. Step 6: Final answer
    x = 481,416,888.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.