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Finding the Third Proportional to 42,945,342.75 and 92,698,845.75

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Solution

The third proportional to 42,945,342.75 and 92,698,845.75 is: 200,093,315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,945,342.75 : 92,698,845.75 = 92,698,845.75 : x
  2. Step 2: Convert to fraction form
    42,945,342.75/92,698,845.75 = 92,698,845.75/x
  3. Step 3: Cross multiply
    42,945,342.75x = 92,698,845.75 × 92,698,845.75
  4. Step 4: Simplify right side
    42,945,342.75x = 8,593,076,003,382,293
  5. Step 5: Solve for x
    x = 8,593,076,003,382,293/42,945,342.75
  6. Step 6: Final answer
    x = 200,093,315.20

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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.