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Finding the Third Proportional to 120,787,081.50 and 184,693,552.50

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Solution

The third proportional to 120,787,081.50 and 184,693,552.50 is: 282,411,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,787,081.50 : 184,693,552.50 = 184,693,552.50 : x
  2. Step 2: Convert to fraction form
    120,787,081.50/184,693,552.50 = 184,693,552.50/x
  3. Step 3: Cross multiply
    120,787,081.50x = 184,693,552.50 × 184,693,552.50
  4. Step 4: Simplify right side
    120,787,081.50x = 34,111,708,335,070,256
  5. Step 5: Solve for x
    x = 34,111,708,335,070,256/120,787,081.50
  6. Step 6: Final answer
    x = 282,411,892.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.