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Finding the Third Proportional to 44,233,498,268 and 97,483,192,083

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Solution

The third proportional to 44,233,498,268 and 97,483,192,083 is: 214,836,563,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,233,498,268 : 97,483,192,083 = 97,483,192,083 : x
  2. Step 2: Convert to fraction form
    44,233,498,268/97,483,192,083 = 97,483,192,083/x
  3. Step 3: Cross multiply
    44,233,498,268x = 97,483,192,083 × 97,483,192,083
  4. Step 4: Simplify right side
    44,233,498,268x = 9,502,972,738,691,074,621,440
  5. Step 5: Solve for x
    x = 9,502,972,738,691,074,621,440/44,233,498,268
  6. Step 6: Final answer
    x = 214,836,563,030.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.