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Finding the Third Proportional to 360,142,533.75 and 803,093,505

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Solution

The third proportional to 360,142,533.75 and 803,093,505 is: 1,790,844,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,142,533.75 : 803,093,505 = 803,093,505 : x
  2. Step 2: Convert to fraction form
    360,142,533.75/803,093,505 = 803,093,505/x
  3. Step 3: Cross multiply
    360,142,533.75x = 803,093,505 × 803,093,505
  4. Step 4: Simplify right side
    360,142,533.75x = 644,959,177,773,185,024
  5. Step 5: Solve for x
    x = 644,959,177,773,185,024/360,142,533.75
  6. Step 6: Final answer
    x = 1,790,844,227.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.