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Finding the Third Proportional to 87,549,067,408 and 177,534,290,492

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Solution

The third proportional to 87,549,067,408 and 177,534,290,492 is: 360,008,681,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,549,067,408 : 177,534,290,492 = 177,534,290,492 : x
  2. Step 2: Convert to fraction form
    87,549,067,408/177,534,290,492 = 177,534,290,492/x
  3. Step 3: Cross multiply
    87,549,067,408x = 177,534,290,492 × 177,534,290,492
  4. Step 4: Simplify right side
    87,549,067,408x = 31,518,424,300,497,840,111,616
  5. Step 5: Solve for x
    x = 31,518,424,300,497,840,111,616/87,549,067,408
  6. Step 6: Final answer
    x = 360,008,681,230.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.