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Finding the Third Proportional to 65,147,265.75 and 135,653,274.75

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Solution

The third proportional to 65,147,265.75 and 135,653,274.75 is: 282,464,823.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,147,265.75 : 135,653,274.75 = 135,653,274.75 : x
  2. Step 2: Convert to fraction form
    65,147,265.75/135,653,274.75 = 135,653,274.75/x
  3. Step 3: Cross multiply
    65,147,265.75x = 135,653,274.75 × 135,653,274.75
  4. Step 4: Simplify right side
    65,147,265.75x = 18,401,810,950,398,988
  5. Step 5: Solve for x
    x = 18,401,810,950,398,988/65,147,265.75
  6. Step 6: Final answer
    x = 282,464,823.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.