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Finding the Third Proportional to 205,708,104 and 439,314,408

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Solution

The third proportional to 205,708,104 and 439,314,408 is: 938,208,778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708,104 : 439,314,408 = 439,314,408 : x
  2. Step 2: Convert to fraction form
    205,708,104/439,314,408 = 439,314,408/x
  3. Step 3: Cross multiply
    205,708,104x = 439,314,408 × 439,314,408
  4. Step 4: Simplify right side
    205,708,104x = 192,997,149,076,390,464
  5. Step 5: Solve for x
    x = 192,997,149,076,390,464/205,708,104
  6. Step 6: Final answer
    x = 938,208,778.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.