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Finding the Third Proportional to 235,908,819 and 513,235,525.50

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Solution

The third proportional to 235,908,819 and 513,235,525.50 is: 1,116,578,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,908,819 : 513,235,525.50 = 513,235,525.50 : x
  2. Step 2: Convert to fraction form
    235,908,819/513,235,525.50 = 513,235,525.50/x
  3. Step 3: Cross multiply
    235,908,819x = 513,235,525.50 × 513,235,525.50
  4. Step 4: Simplify right side
    235,908,819x = 263,410,704,635,261,152
  5. Step 5: Solve for x
    x = 263,410,704,635,261,152/235,908,819
  6. Step 6: Final answer
    x = 1,116,578,454.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.