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Finding the Third Proportional to 190,716,493.50 and 411,916,851

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Solution

The third proportional to 190,716,493.50 and 411,916,851 is: 889,673,929.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,716,493.50 : 411,916,851 = 411,916,851 : x
  2. Step 2: Convert to fraction form
    190,716,493.50/411,916,851 = 411,916,851/x
  3. Step 3: Cross multiply
    190,716,493.50x = 411,916,851 × 411,916,851
  4. Step 4: Simplify right side
    190,716,493.50x = 169,675,492,137,756,192
  5. Step 5: Solve for x
    x = 169,675,492,137,756,192/190,716,493.50
  6. Step 6: Final answer
    x = 889,673,929.21

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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.