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Finding the Third Proportional to 100,235,821.50 and 159,496,485.50

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Solution

The third proportional to 100,235,821.50 and 159,496,485.50 is: 253,792,790.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235,821.50 : 159,496,485.50 = 159,496,485.50 : x
  2. Step 2: Convert to fraction form
    100,235,821.50/159,496,485.50 = 159,496,485.50/x
  3. Step 3: Cross multiply
    100,235,821.50x = 159,496,485.50 × 159,496,485.50
  4. Step 4: Simplify right side
    100,235,821.50x = 25,439,128,886,851,712
  5. Step 5: Solve for x
    x = 25,439,128,886,851,712/100,235,821.50
  6. Step 6: Final answer
    x = 253,792,790.90

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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.