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Finding the Third Proportional to 180,810,334.13 and 392,444,245.13

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Solution

The third proportional to 180,810,334.13 and 392,444,245.13 is: 851,790,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,810,334.13 : 392,444,245.13 = 392,444,245.13 : x
  2. Step 2: Convert to fraction form
    180,810,334.13/392,444,245.13 = 392,444,245.13/x
  3. Step 3: Cross multiply
    180,810,334.13x = 392,444,245.13 × 392,444,245.13
  4. Step 4: Simplify right side
    180,810,334.13x = 154,012,485,531,731,072
  5. Step 5: Solve for x
    x = 154,012,485,531,731,072/180,810,334.13
  6. Step 6: Final answer
    x = 851,790,282.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.