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Finding the Third Proportional to 190,149,537 and 416,751,989.25

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Solution

The third proportional to 190,149,537 and 416,751,989.25 is: 913,398,072.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,149,537 : 416,751,989.25 = 416,751,989.25 : x
  2. Step 2: Convert to fraction form
    190,149,537/416,751,989.25 = 416,751,989.25/x
  3. Step 3: Cross multiply
    190,149,537x = 416,751,989.25 × 416,751,989.25
  4. Step 4: Simplify right side
    190,149,537x = 173,682,220,543,832,128
  5. Step 5: Solve for x
    x = 173,682,220,543,832,128/190,149,537
  6. Step 6: Final answer
    x = 913,398,072.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.