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Finding the Third Proportional to 193,926,168 and 418,619,052

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Solution

The third proportional to 193,926,168 and 418,619,052 is: 903,652,727.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,926,168 : 418,619,052 = 418,619,052 : x
  2. Step 2: Convert to fraction form
    193,926,168/418,619,052 = 418,619,052/x
  3. Step 3: Cross multiply
    193,926,168x = 418,619,052 × 418,619,052
  4. Step 4: Simplify right side
    193,926,168x = 175,241,910,697,378,688
  5. Step 5: Solve for x
    x = 175,241,910,697,378,688/193,926,168
  6. Step 6: Final answer
    x = 903,652,727.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.