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Finding the Third Proportional to 235,782,144 and 507,396,096

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Solution

The third proportional to 235,782,144 and 507,396,096 is: 1,091,901,167.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,782,144 : 507,396,096 = 507,396,096 : x
  2. Step 2: Convert to fraction form
    235,782,144/507,396,096 = 507,396,096/x
  3. Step 3: Cross multiply
    235,782,144x = 507,396,096 × 507,396,096
  4. Step 4: Simplify right side
    235,782,144x = 257,450,798,236,041,216
  5. Step 5: Solve for x
    x = 257,450,798,236,041,216/235,782,144
  6. Step 6: Final answer
    x = 1,091,901,167.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.