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Finding the Third Proportional to 98,887,941 and 145,474,049.25

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Solution

The third proportional to 98,887,941 and 145,474,049.25 is: 214,006,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,887,941 : 145,474,049.25 = 145,474,049.25 : x
  2. Step 2: Convert to fraction form
    98,887,941/145,474,049.25 = 145,474,049.25/x
  3. Step 3: Cross multiply
    98,887,941x = 145,474,049.25 × 145,474,049.25
  4. Step 4: Simplify right side
    98,887,941x = 21,162,699,005,191,424
  5. Step 5: Solve for x
    x = 21,162,699,005,191,424/98,887,941
  6. Step 6: Final answer
    x = 214,006,872.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.