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Finding the Third Proportional to 195,573,876.05 and 414,464,725.97

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Solution

The third proportional to 195,573,876.05 and 414,464,725.97 is: 878,343,327.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,573,876.05 : 414,464,725.97 = 414,464,725.97 : x
  2. Step 2: Convert to fraction form
    195,573,876.05/414,464,725.97 = 414,464,725.97/x
  3. Step 3: Cross multiply
    195,573,876.05x = 414,464,725.97 × 414,464,725.97
  4. Step 4: Simplify right side
    195,573,876.05x = 171,781,009,072,351,040
  5. Step 5: Solve for x
    x = 171,781,009,072,351,040/195,573,876.05
  6. Step 6: Final answer
    x = 878,343,327.57

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.