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Finding the Third Proportional to 312,173,186,781 and 496,728,908,465.25

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Solution

The third proportional to 312,173,186,781 and 496,728,908,465.25 is: 790,393,342,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,173,186,781 : 496,728,908,465.25 = 496,728,908,465.25 : x
  2. Step 2: Convert to fraction form
    312,173,186,781/496,728,908,465.25 = 496,728,908,465.25/x
  3. Step 3: Cross multiply
    312,173,186,781x = 496,728,908,465.25 × 496,728,908,465.25
  4. Step 4: Simplify right side
    312,173,186,781x = 246,739,608,505,078,710,796,288
  5. Step 5: Solve for x
    x = 246,739,608,505,078,710,796,288/312,173,186,781
  6. Step 6: Final answer
    x = 790,393,342,392.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.