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Finding the Third Proportional to 45,904,281.75 and 96,989,703.75

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Solution

The third proportional to 45,904,281.75 and 96,989,703.75 is: 204,926,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904,281.75 : 96,989,703.75 = 96,989,703.75 : x
  2. Step 2: Convert to fraction form
    45,904,281.75/96,989,703.75 = 96,989,703.75/x
  3. Step 3: Cross multiply
    45,904,281.75x = 96,989,703.75 × 96,989,703.75
  4. Step 4: Simplify right side
    45,904,281.75x = 9,407,002,633,512,764
  5. Step 5: Solve for x
    x = 9,407,002,633,512,764/45,904,281.75
  6. Step 6: Final answer
    x = 204,926,474.72

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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.