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Finding the Third Proportional to 46,015,305.75 and 98,407,856.25

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Solution

The third proportional to 46,015,305.75 and 98,407,856.25 is: 210,454,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,015,305.75 : 98,407,856.25 = 98,407,856.25 : x
  2. Step 2: Convert to fraction form
    46,015,305.75/98,407,856.25 = 98,407,856.25/x
  3. Step 3: Cross multiply
    46,015,305.75x = 98,407,856.25 × 98,407,856.25
  4. Step 4: Simplify right side
    46,015,305.75x = 9,684,106,171,720,664
  5. Step 5: Solve for x
    x = 9,684,106,171,720,664/46,015,305.75
  6. Step 6: Final answer
    x = 210,454,022.07

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.