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Finding the Third Proportional to 42,106,833 and 91,628,156

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Solution

The third proportional to 42,106,833 and 91,628,156 is: 199,390,891.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,106,833 : 91,628,156 = 91,628,156 : x
  2. Step 2: Convert to fraction form
    42,106,833/91,628,156 = 91,628,156/x
  3. Step 3: Cross multiply
    42,106,833x = 91,628,156 × 91,628,156
  4. Step 4: Simplify right side
    42,106,833x = 8,395,718,971,960,336
  5. Step 5: Solve for x
    x = 8,395,718,971,960,336/42,106,833
  6. Step 6: Final answer
    x = 199,390,891.54

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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.