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Finding the Third Proportional to 83,563,430 and 183,269,374

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Solution

The third proportional to 83,563,430 and 183,269,374 is: 401,942,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,563,430 : 183,269,374 = 183,269,374 : x
  2. Step 2: Convert to fraction form
    83,563,430/183,269,374 = 183,269,374/x
  3. Step 3: Cross multiply
    83,563,430x = 183,269,374 × 183,269,374
  4. Step 4: Simplify right side
    83,563,430x = 33,587,663,446,351,876
  5. Step 5: Solve for x
    x = 33,587,663,446,351,876/83,563,430
  6. Step 6: Final answer
    x = 401,942,134.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.