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Finding the Third Proportional to 190,716,484 and 411,916,832

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Solution

The third proportional to 190,716,484 and 411,916,832 is: 889,673,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,716,484 : 411,916,832 = 411,916,832 : x
  2. Step 2: Convert to fraction form
    190,716,484/411,916,832 = 411,916,832/x
  3. Step 3: Cross multiply
    190,716,484x = 411,916,832 × 411,916,832
  4. Step 4: Simplify right side
    190,716,484x = 169,675,476,484,916,224
  5. Step 5: Solve for x
    x = 169,675,476,484,916,224/190,716,484
  6. Step 6: Final answer
    x = 889,673,891.46

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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.