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Finding the Third Proportional to 100,235,803.50 and 159,496,461

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Solution

The third proportional to 100,235,803.50 and 159,496,461 is: 253,792,758.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235,803.50 : 159,496,461 = 159,496,461 : x
  2. Step 2: Convert to fraction form
    100,235,803.50/159,496,461 = 159,496,461/x
  3. Step 3: Cross multiply
    100,235,803.50x = 159,496,461 × 159,496,461
  4. Step 4: Simplify right side
    100,235,803.50x = 25,439,121,071,524,520
  5. Step 5: Solve for x
    x = 25,439,121,071,524,520/100,235,803.50
  6. Step 6: Final answer
    x = 253,792,758.51

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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.