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Finding the Third Proportional to 91,976,916 and 200,283,432

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Solution

The third proportional to 91,976,916 and 200,283,432 is: 436,125,224.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,976,916 : 200,283,432 = 200,283,432 : x
  2. Step 2: Convert to fraction form
    91,976,916/200,283,432 = 200,283,432/x
  3. Step 3: Cross multiply
    91,976,916x = 200,283,432 × 200,283,432
  4. Step 4: Simplify right side
    91,976,916x = 40,113,453,133,698,624
  5. Step 5: Solve for x
    x = 40,113,453,133,698,624/91,976,916
  6. Step 6: Final answer
    x = 436,125,224.44

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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.