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Finding the Third Proportional to 80,748,788.63 and 177,129,433.13

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Solution

The third proportional to 80,748,788.63 and 177,129,433.13 is: 388,548,690.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,788.63 : 177,129,433.13 = 177,129,433.13 : x
  2. Step 2: Convert to fraction form
    80,748,788.63/177,129,433.13 = 177,129,433.13/x
  3. Step 3: Cross multiply
    80,748,788.63x = 177,129,433.13 × 177,129,433.13
  4. Step 4: Simplify right side
    80,748,788.63x = 31,374,836,079,183,848
  5. Step 5: Solve for x
    x = 31,374,836,079,183,848/80,748,788.63
  6. Step 6: Final answer
    x = 388,548,690.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.