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Finding the Third Proportional to 235,397,344.50 and 323,136,289.50

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Solution

The third proportional to 235,397,344.50 and 323,136,289.50 is: 443,577,907.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,397,344.50 : 323,136,289.50 = 323,136,289.50 : x
  2. Step 2: Convert to fraction form
    235,397,344.50/323,136,289.50 = 323,136,289.50/x
  3. Step 3: Cross multiply
    235,397,344.50x = 323,136,289.50 × 323,136,289.50
  4. Step 4: Simplify right side
    235,397,344.50x = 104,417,061,591,827,808
  5. Step 5: Solve for x
    x = 104,417,061,591,827,808/235,397,344.50
  6. Step 6: Final answer
    x = 443,577,907.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.