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Finding the Third Proportional to 81,334,468 and 178,790,600

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Solution

The third proportional to 81,334,468 and 178,790,600 is: 393,020,074.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,334,468 : 178,790,600 = 178,790,600 : x
  2. Step 2: Convert to fraction form
    81,334,468/178,790,600 = 178,790,600/x
  3. Step 3: Cross multiply
    81,334,468x = 178,790,600 × 178,790,600
  4. Step 4: Simplify right side
    81,334,468x = 31,966,078,648,360,000
  5. Step 5: Solve for x
    x = 31,966,078,648,360,000/81,334,468
  6. Step 6: Final answer
    x = 393,020,074.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.