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Finding the Third Proportional to 246,285,110.25 and 535,438,694.25

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Solution

The third proportional to 246,285,110.25 and 535,438,694.25 is: 1,164,076,037.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,285,110.25 : 535,438,694.25 = 535,438,694.25 : x
  2. Step 2: Convert to fraction form
    246,285,110.25/535,438,694.25 = 535,438,694.25/x
  3. Step 3: Cross multiply
    246,285,110.25x = 535,438,694.25 × 535,438,694.25
  4. Step 4: Simplify right side
    246,285,110.25x = 286,694,595,300,144,992
  5. Step 5: Solve for x
    x = 286,694,595,300,144,992/246,285,110.25
  6. Step 6: Final answer
    x = 1,164,076,037.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.