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Finding the Third Proportional to 42,106,834 and 91,628,158

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Solution

The third proportional to 42,106,834 and 91,628,158 is: 199,390,895.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106,834 : 91,628,158 = 91,628,158 : x
  2. Step 2: Convert to fraction form
    42,106,834/91,628,158 = 91,628,158/x
  3. Step 3: Cross multiply
    42,106,834x = 91,628,158 × 91,628,158
  4. Step 4: Simplify right side
    42,106,834x = 8,395,719,338,472,964
  5. Step 5: Solve for x
    x = 8,395,719,338,472,964/42,106,834
  6. Step 6: Final answer
    x = 199,390,895.51

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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.