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Finding the Third Proportional to 42,586,377.75 and 92,646,144.75

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Solution

The third proportional to 42,586,377.75 and 92,646,144.75 is: 201,550,556.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,586,377.75 : 92,646,144.75 = 92,646,144.75 : x
  2. Step 2: Convert to fraction form
    42,586,377.75/92,646,144.75 = 92,646,144.75/x
  3. Step 3: Cross multiply
    42,586,377.75x = 92,646,144.75 × 92,646,144.75
  4. Step 4: Simplify right side
    42,586,377.75x = 8,583,308,137,037,953
  5. Step 5: Solve for x
    x = 8,583,308,137,037,953/42,586,377.75
  6. Step 6: Final answer
    x = 201,550,556.55

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