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Finding the Third Proportional to 152,059,504.50 and 235,560,048.75

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Solution

The third proportional to 152,059,504.50 and 235,560,048.75 is: 364,913,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,059,504.50 : 235,560,048.75 = 235,560,048.75 : x
  2. Step 2: Convert to fraction form
    152,059,504.50/235,560,048.75 = 235,560,048.75/x
  3. Step 3: Cross multiply
    152,059,504.50x = 235,560,048.75 × 235,560,048.75
  4. Step 4: Simplify right side
    152,059,504.50x = 55,488,536,567,102,376
  5. Step 5: Solve for x
    x = 55,488,536,567,102,376/152,059,504.50
  6. Step 6: Final answer
    x = 364,913,306.47

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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.