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Finding the Third Proportional to 105,991,929 and 159,518,605.50

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Solution

The third proportional to 105,991,929 and 159,518,605.50 is: 240,076,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,991,929 : 159,518,605.50 = 159,518,605.50 : x
  2. Step 2: Convert to fraction form
    105,991,929/159,518,605.50 = 159,518,605.50/x
  3. Step 3: Cross multiply
    105,991,929x = 159,518,605.50 × 159,518,605.50
  4. Step 4: Simplify right side
    105,991,929x = 25,446,185,500,664,632
  5. Step 5: Solve for x
    x = 25,446,185,500,664,632/105,991,929
  6. Step 6: Final answer
    x = 240,076,633.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.