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Finding the Third Proportional to 119,947,924.50 and 184,286,728.13

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Solution

The third proportional to 119,947,924.50 and 184,286,728.13 is: 283,136,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,947,924.50 : 184,286,728.13 = 184,286,728.13 : x
  2. Step 2: Convert to fraction form
    119,947,924.50/184,286,728.13 = 184,286,728.13/x
  3. Step 3: Cross multiply
    119,947,924.50x = 184,286,728.13 × 184,286,728.13
  4. Step 4: Simplify right side
    119,947,924.50x = 33,961,598,163,017,668
  5. Step 5: Solve for x
    x = 33,961,598,163,017,668/119,947,924.50
  6. Step 6: Final answer
    x = 283,136,188.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.