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Finding the Third Proportional to 291,211,324.03 and 393,573,426.19

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Solution

The third proportional to 291,211,324.03 and 393,573,426.19 is: 531,916,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211,324.03 : 393,573,426.19 = 393,573,426.19 : x
  2. Step 2: Convert to fraction form
    291,211,324.03/393,573,426.19 = 393,573,426.19/x
  3. Step 3: Cross multiply
    291,211,324.03x = 393,573,426.19 × 393,573,426.19
  4. Step 4: Simplify right side
    291,211,324.03x = 154,900,041,800,967,520
  5. Step 5: Solve for x
    x = 154,900,041,800,967,520/291,211,324.03
  6. Step 6: Final answer
    x = 531,916,271.86

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.