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Finding the Third Proportional to 198,643,893.75 and 463,974,157.69

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Solution

The third proportional to 198,643,893.75 and 463,974,157.69 is: 1,083,708,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,643,893.75 : 463,974,157.69 = 463,974,157.69 : x
  2. Step 2: Convert to fraction form
    198,643,893.75/463,974,157.69 = 463,974,157.69/x
  3. Step 3: Cross multiply
    198,643,893.75x = 463,974,157.69 × 463,974,157.69
  4. Step 4: Simplify right side
    198,643,893.75x = 215,272,019,001,825,120
  5. Step 5: Solve for x
    x = 215,272,019,001,825,120/198,643,893.75
  6. Step 6: Final answer
    x = 1,083,708,212.41

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.