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Finding the Third Proportional to 136,263,123.75 and 298,907,082.75

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Solution

The third proportional to 136,263,123.75 and 298,907,082.75 is: 655,683,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,263,123.75 : 298,907,082.75 = 298,907,082.75 : x
  2. Step 2: Convert to fraction form
    136,263,123.75/298,907,082.75 = 298,907,082.75/x
  3. Step 3: Cross multiply
    136,263,123.75x = 298,907,082.75 × 298,907,082.75
  4. Step 4: Simplify right side
    136,263,123.75x = 89,345,444,118,115,344
  5. Step 5: Solve for x
    x = 89,345,444,118,115,344/136,263,123.75
  6. Step 6: Final answer
    x = 655,683,222.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.