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Finding the Third Proportional to 190,861,841,000 and 284,637,629,856

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Solution

The third proportional to 190,861,841,000 and 284,637,629,856 is: 424,488,100,426.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,861,841,000 : 284,637,629,856 = 284,637,629,856 : x
  2. Step 2: Convert to fraction form
    190,861,841,000/284,637,629,856 = 284,637,629,856/x
  3. Step 3: Cross multiply
    190,861,841,000x = 284,637,629,856 × 284,637,629,856
  4. Step 4: Simplify right side
    190,861,841,000x = 81,018,580,330,041,269,288,960
  5. Step 5: Solve for x
    x = 81,018,580,330,041,269,288,960/190,861,841,000
  6. Step 6: Final answer
    x = 424,488,100,426.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.