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Finding the Third Proportional to 100,235,826 and 159,496,501.50

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Solution

The third proportional to 100,235,826 and 159,496,501.50 is: 253,792,830.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235,826 : 159,496,501.50 = 159,496,501.50 : x
  2. Step 2: Convert to fraction form
    100,235,826/159,496,501.50 = 159,496,501.50/x
  3. Step 3: Cross multiply
    100,235,826x = 159,496,501.50 × 159,496,501.50
  4. Step 4: Simplify right side
    100,235,826x = 25,439,133,990,739,504
  5. Step 5: Solve for x
    x = 25,439,133,990,739,504/100,235,826
  6. Step 6: Final answer
    x = 253,792,830.43

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.