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Finding the Third Proportional to 212,987,344 and 304,364,464

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Solution

The third proportional to 212,987,344 and 304,364,464 is: 434,944,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,987,344 : 304,364,464 = 304,364,464 : x
  2. Step 2: Convert to fraction form
    212,987,344/304,364,464 = 304,364,464/x
  3. Step 3: Cross multiply
    212,987,344x = 304,364,464 × 304,364,464
  4. Step 4: Simplify right side
    212,987,344x = 92,637,726,946,007,296
  5. Step 5: Solve for x
    x = 92,637,726,946,007,296/212,987,344
  6. Step 6: Final answer
    x = 434,944,749.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.