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Finding the Third Proportional to 41,834,153 and 91,076,313

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Solution

The third proportional to 41,834,153 and 91,076,313 is: 198,280,452.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,834,153 : 91,076,313 = 91,076,313 : x
  2. Step 2: Convert to fraction form
    41,834,153/91,076,313 = 91,076,313/x
  3. Step 3: Cross multiply
    41,834,153x = 91,076,313 × 91,076,313
  4. Step 4: Simplify right side
    41,834,153x = 8,294,894,789,673,969
  5. Step 5: Solve for x
    x = 8,294,894,789,673,969/41,834,153
  6. Step 6: Final answer
    x = 198,280,452.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.