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Finding the Third Proportional to 64,085,238 and 137,725,344

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Solution

The third proportional to 64,085,238 and 137,725,344 is: 295,985,018.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,085,238 : 137,725,344 = 137,725,344 : x
  2. Step 2: Convert to fraction form
    64,085,238/137,725,344 = 137,725,344/x
  3. Step 3: Cross multiply
    64,085,238x = 137,725,344 × 137,725,344
  4. Step 4: Simplify right side
    64,085,238x = 18,968,270,379,918,336
  5. Step 5: Solve for x
    x = 18,968,270,379,918,336/64,085,238
  6. Step 6: Final answer
    x = 295,985,018.89

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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.