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Finding the Third Proportional to 211,477,952.50 and 323,295,284

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Solution

The third proportional to 211,477,952.50 and 323,295,284 is: 494,235,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,477,952.50 : 323,295,284 = 323,295,284 : x
  2. Step 2: Convert to fraction form
    211,477,952.50/323,295,284 = 323,295,284/x
  3. Step 3: Cross multiply
    211,477,952.50x = 323,295,284 × 323,295,284
  4. Step 4: Simplify right side
    211,477,952.50x = 104,519,840,656,640,656
  5. Step 5: Solve for x
    x = 104,519,840,656,640,656/211,477,952.50
  6. Step 6: Final answer
    x = 494,235,164.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.