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Finding the Third Proportional to 40,976,195,269.50 and 91,374,145,645.50

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Solution

The third proportional to 40,976,195,269.50 and 91,374,145,645.50 is: 203,758,168,310.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,976,195,269.50 : 91,374,145,645.50 = 91,374,145,645.50 : x
  2. Step 2: Convert to fraction form
    40,976,195,269.50/91,374,145,645.50 = 91,374,145,645.50/x
  3. Step 3: Cross multiply
    40,976,195,269.50x = 91,374,145,645.50 × 91,374,145,645.50
  4. Step 4: Simplify right side
    40,976,195,269.50x = 8,349,234,492,445,047,128,064
  5. Step 5: Solve for x
    x = 8,349,234,492,445,047,128,064/40,976,195,269.50
  6. Step 6: Final answer
    x = 203,758,168,310.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.