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Finding the Third Proportional to 103,658,383 and 239,975,512

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Solution

The third proportional to 103,658,383 and 239,975,512 is: 555,558,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658,383 : 239,975,512 = 239,975,512 : x
  2. Step 2: Convert to fraction form
    103,658,383/239,975,512 = 239,975,512/x
  3. Step 3: Cross multiply
    103,658,383x = 239,975,512 × 239,975,512
  4. Step 4: Simplify right side
    103,658,383x = 57,588,246,359,662,144
  5. Step 5: Solve for x
    x = 57,588,246,359,662,144/103,658,383
  6. Step 6: Final answer
    x = 555,558,023.32

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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.