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Finding the Third Proportional to 255,937,213.69 and 551,411,119.69

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Solution

The third proportional to 255,937,213.69 and 551,411,119.69 is: 1,188,003,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,937,213.69 : 551,411,119.69 = 551,411,119.69 : x
  2. Step 2: Convert to fraction form
    255,937,213.69/551,411,119.69 = 551,411,119.69/x
  3. Step 3: Cross multiply
    255,937,213.69x = 551,411,119.69 × 551,411,119.69
  4. Step 4: Simplify right side
    255,937,213.69x = 304,054,222,915,022,464
  5. Step 5: Solve for x
    x = 304,054,222,915,022,464/255,937,213.69
  6. Step 6: Final answer
    x = 1,188,003,176.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.