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Finding the Third Proportional to 96,038,947.69 and 206,643,966.75

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Solution

The third proportional to 96,038,947.69 and 206,643,966.75 is: 444,629,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,038,947.69 : 206,643,966.75 = 206,643,966.75 : x
  2. Step 2: Convert to fraction form
    96,038,947.69/206,643,966.75 = 206,643,966.75/x
  3. Step 3: Cross multiply
    96,038,947.69x = 206,643,966.75 × 206,643,966.75
  4. Step 4: Simplify right side
    96,038,947.69x = 42,701,728,994,175,104
  5. Step 5: Solve for x
    x = 42,701,728,994,175,104/96,038,947.69
  6. Step 6: Final answer
    x = 444,629,288.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.