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Finding the Third Proportional to 227,519,470 and 343,670,255

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Solution

The third proportional to 227,519,470 and 343,670,255 is: 519,117,085.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,519,470 : 343,670,255 = 343,670,255 : x
  2. Step 2: Convert to fraction form
    227,519,470/343,670,255 = 343,670,255/x
  3. Step 3: Cross multiply
    227,519,470x = 343,670,255 × 343,670,255
  4. Step 4: Simplify right side
    227,519,470x = 118,109,244,171,765,024
  5. Step 5: Solve for x
    x = 118,109,244,171,765,024/227,519,470
  6. Step 6: Final answer
    x = 519,117,085.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.