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Finding the Third Proportional to 182,014,059 and 393,117,746

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Solution

The third proportional to 182,014,059 and 393,117,746 is: 849,063,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,014,059 : 393,117,746 = 393,117,746 : x
  2. Step 2: Convert to fraction form
    182,014,059/393,117,746 = 393,117,746/x
  3. Step 3: Cross multiply
    182,014,059x = 393,117,746 × 393,117,746
  4. Step 4: Simplify right side
    182,014,059x = 154,541,562,220,120,512
  5. Step 5: Solve for x
    x = 154,541,562,220,120,512/182,014,059
  6. Step 6: Final answer
    x = 849,063,874.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.