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Finding the Third Proportional to 174,924,299.25 and 404,960,640.75

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Solution

The third proportional to 174,924,299.25 and 404,960,640.75 is: 937,509,089.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,924,299.25 : 404,960,640.75 = 404,960,640.75 : x
  2. Step 2: Convert to fraction form
    174,924,299.25/404,960,640.75 = 404,960,640.75/x
  3. Step 3: Cross multiply
    174,924,299.25x = 404,960,640.75 × 404,960,640.75
  4. Step 4: Simplify right side
    174,924,299.25x = 163,993,120,556,650,560
  5. Step 5: Solve for x
    x = 163,993,120,556,650,560/174,924,299.25
  6. Step 6: Final answer
    x = 937,509,089.70

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.