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Finding the Third Proportional to 190,797,936 and 411,811,464

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Solution

The third proportional to 190,797,936 and 411,811,464 is: 888,839,184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,797,936 : 411,811,464 = 411,811,464 : x
  2. Step 2: Convert to fraction form
    190,797,936/411,811,464 = 411,811,464/x
  3. Step 3: Cross multiply
    190,797,936x = 411,811,464 × 411,811,464
  4. Step 4: Simplify right side
    190,797,936x = 169,588,681,881,823,296
  5. Step 5: Solve for x
    x = 169,588,681,881,823,296/190,797,936
  6. Step 6: Final answer
    x = 888,839,184.73

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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.