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Finding the Third Proportional to 78,364,594.13 and 182,994,516.56

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Solution

The third proportional to 78,364,594.13 and 182,994,516.56 is: 427,322,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,364,594.13 : 182,994,516.56 = 182,994,516.56 : x
  2. Step 2: Convert to fraction form
    78,364,594.13/182,994,516.56 = 182,994,516.56/x
  3. Step 3: Cross multiply
    78,364,594.13x = 182,994,516.56 × 182,994,516.56
  4. Step 4: Simplify right side
    78,364,594.13x = 33,486,993,091,943,088
  5. Step 5: Solve for x
    x = 33,486,993,091,943,088/78,364,594.13
  6. Step 6: Final answer
    x = 427,322,995.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.