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Finding the Third Proportional to 250,362,965.25 and 382,979,691

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Solution

The third proportional to 250,362,965.25 and 382,979,691 is: 585,843,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,362,965.25 : 382,979,691 = 382,979,691 : x
  2. Step 2: Convert to fraction form
    250,362,965.25/382,979,691 = 382,979,691/x
  3. Step 3: Cross multiply
    250,362,965.25x = 382,979,691 × 382,979,691
  4. Step 4: Simplify right side
    250,362,965.25x = 146,673,443,718,455,488
  5. Step 5: Solve for x
    x = 146,673,443,718,455,488/250,362,965.25
  6. Step 6: Final answer
    x = 585,843,211.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.