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Finding the Third Proportional to 116,615,705 and 269,972,511.75

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Solution

The third proportional to 116,615,705 and 269,972,511.75 is: 625,002,928.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,615,705 : 269,972,511.75 = 269,972,511.75 : x
  2. Step 2: Convert to fraction form
    116,615,705/269,972,511.75 = 269,972,511.75/x
  3. Step 3: Cross multiply
    116,615,705x = 269,972,511.75 × 269,972,511.75
  4. Step 4: Simplify right side
    116,615,705x = 72,885,157,100,603,888
  5. Step 5: Solve for x
    x = 72,885,157,100,603,888/116,615,705
  6. Step 6: Final answer
    x = 625,002,928.21

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.