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Finding the Third Proportional to 170,365,138.31 and 370,580,006.81

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Solution

The third proportional to 170,365,138.31 and 370,580,006.81 is: 806,089,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,365,138.31 : 370,580,006.81 = 370,580,006.81 : x
  2. Step 2: Convert to fraction form
    170,365,138.31/370,580,006.81 = 370,580,006.81/x
  3. Step 3: Cross multiply
    170,365,138.31x = 370,580,006.81 × 370,580,006.81
  4. Step 4: Simplify right side
    170,365,138.31x = 137,329,541,449,152,544
  5. Step 5: Solve for x
    x = 137,329,541,449,152,544/170,365,138.31
  6. Step 6: Final answer
    x = 806,089,454.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.