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Finding the Third Proportional to 250,154,856 and 387,809,696.25

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Solution

The third proportional to 250,154,856 and 387,809,696.25 is: 601,213,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,154,856 : 387,809,696.25 = 387,809,696.25 : x
  2. Step 2: Convert to fraction form
    250,154,856/387,809,696.25 = 387,809,696.25/x
  3. Step 3: Cross multiply
    250,154,856x = 387,809,696.25 × 387,809,696.25
  4. Step 4: Simplify right side
    250,154,856x = 150,396,360,505,517,280
  5. Step 5: Solve for x
    x = 150,396,360,505,517,280/250,154,856
  6. Step 6: Final answer
    x = 601,213,036.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.