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Finding the Third Proportional to 45,903,987 and 96,989,190

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Solution

The third proportional to 45,903,987 and 96,989,190 is: 204,925,619.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,903,987 : 96,989,190 = 96,989,190 : x
  2. Step 2: Convert to fraction form
    45,903,987/96,989,190 = 96,989,190/x
  3. Step 3: Cross multiply
    45,903,987x = 96,989,190 × 96,989,190
  4. Step 4: Simplify right side
    45,903,987x = 9,406,902,976,856,100
  5. Step 5: Solve for x
    x = 9,406,902,976,856,100/45,903,987
  6. Step 6: Final answer
    x = 204,925,619.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.