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Finding the Third Proportional to 42,945,333.75 and 92,698,827.75

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Solution

The third proportional to 42,945,333.75 and 92,698,827.75 is: 200,093,279.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,945,333.75 : 92,698,827.75 = 92,698,827.75 : x
  2. Step 2: Convert to fraction form
    42,945,333.75/92,698,827.75 = 92,698,827.75/x
  3. Step 3: Cross multiply
    42,945,333.75x = 92,698,827.75 × 92,698,827.75
  4. Step 4: Simplify right side
    42,945,333.75x = 8,593,072,666,224,170
  5. Step 5: Solve for x
    x = 8,593,072,666,224,170/42,945,333.75
  6. Step 6: Final answer
    x = 200,093,279.43

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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.