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Finding the Third Proportional to 273,632,451.50 and 424,054,960.50

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Solution

The third proportional to 273,632,451.50 and 424,054,960.50 is: 657,168,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,632,451.50 : 424,054,960.50 = 424,054,960.50 : x
  2. Step 2: Convert to fraction form
    273,632,451.50/424,054,960.50 = 424,054,960.50/x
  3. Step 3: Cross multiply
    273,632,451.50x = 424,054,960.50 × 424,054,960.50
  4. Step 4: Simplify right side
    273,632,451.50x = 179,822,609,524,656,576
  5. Step 5: Solve for x
    x = 179,822,609,524,656,576/273,632,451.50
  6. Step 6: Final answer
    x = 657,168,433.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.