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Finding the Third Proportional to 116,615,661.75 and 269,972,402.06

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Solution

The third proportional to 116,615,661.75 and 269,972,402.06 is: 625,002,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,615,661.75 : 269,972,402.06 = 269,972,402.06 : x
  2. Step 2: Convert to fraction form
    116,615,661.75/269,972,402.06 = 269,972,402.06/x
  3. Step 3: Cross multiply
    116,615,661.75x = 269,972,402.06 × 269,972,402.06
  4. Step 4: Simplify right side
    116,615,661.75x = 72,885,097,875,396,160
  5. Step 5: Solve for x
    x = 72,885,097,875,396,160/116,615,661.75
  6. Step 6: Final answer
    x = 625,002,652.15

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