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Finding the Third Proportional to 80,706,327.75 and 113,246,970.75

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Solution

The third proportional to 80,706,327.75 and 113,246,970.75 is: 158,907,941.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,706,327.75 : 113,246,970.75 = 113,246,970.75 : x
  2. Step 2: Convert to fraction form
    80,706,327.75/113,246,970.75 = 113,246,970.75/x
  3. Step 3: Cross multiply
    80,706,327.75x = 113,246,970.75 × 113,246,970.75
  4. Step 4: Simplify right side
    80,706,327.75x = 12,824,876,384,051,356
  5. Step 5: Solve for x
    x = 12,824,876,384,051,356/80,706,327.75
  6. Step 6: Final answer
    x = 158,907,941.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.