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Finding the Third Proportional to 46,921,284 and 102,184,110

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Solution

The third proportional to 46,921,284 and 102,184,110 is: 222,534,241.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,921,284 : 102,184,110 = 102,184,110 : x
  2. Step 2: Convert to fraction form
    46,921,284/102,184,110 = 102,184,110/x
  3. Step 3: Cross multiply
    46,921,284x = 102,184,110 × 102,184,110
  4. Step 4: Simplify right side
    46,921,284x = 10,441,592,336,492,100
  5. Step 5: Solve for x
    x = 10,441,592,336,492,100/46,921,284
  6. Step 6: Final answer
    x = 222,534,241.32

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.