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Finding the Third Proportional to 119,482,173 and 184,529,508.75

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Solution

The third proportional to 119,482,173 and 184,529,508.75 is: 284,989,289.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,482,173 : 184,529,508.75 = 184,529,508.75 : x
  2. Step 2: Convert to fraction form
    119,482,173/184,529,508.75 = 184,529,508.75/x
  3. Step 3: Cross multiply
    119,482,173x = 184,529,508.75 × 184,529,508.75
  4. Step 4: Simplify right side
    119,482,173x = 34,051,139,599,516,328
  5. Step 5: Solve for x
    x = 34,051,139,599,516,328/119,482,173
  6. Step 6: Final answer
    x = 284,989,289.57

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Why These Related Problems?

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