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Finding the Third Proportional to 145,295,977.50 and 223,630,879.50

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Solution

The third proportional to 145,295,977.50 and 223,630,879.50 is: 344,199,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,295,977.50 : 223,630,879.50 = 223,630,879.50 : x
  2. Step 2: Convert to fraction form
    145,295,977.50/223,630,879.50 = 223,630,879.50/x
  3. Step 3: Cross multiply
    145,295,977.50x = 223,630,879.50 × 223,630,879.50
  4. Step 4: Simplify right side
    145,295,977.50x = 50,010,770,265,943,520
  5. Step 5: Solve for x
    x = 50,010,770,265,943,520/145,295,977.50
  6. Step 6: Final answer
    x = 344,199,276.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.