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Finding the Third Proportional to 65,115,082.50 and 135,588,862.13

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Solution

The third proportional to 65,115,082.50 and 135,588,862.13 is: 282,336,116.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,115,082.50 : 135,588,862.13 = 135,588,862.13 : x
  2. Step 2: Convert to fraction form
    65,115,082.50/135,588,862.13 = 135,588,862.13/x
  3. Step 3: Cross multiply
    65,115,082.50x = 135,588,862.13 × 135,588,862.13
  4. Step 4: Simplify right side
    65,115,082.50x = 18,384,339,532,352,260
  5. Step 5: Solve for x
    x = 18,384,339,532,352,260/65,115,082.50
  6. Step 6: Final answer
    x = 282,336,116.71

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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.