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Finding the Third Proportional to 105,492,373,066.75 and 226,298,687,781.75

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Solution

The third proportional to 105,492,373,066.75 and 226,298,687,781.75 is: 485,448,327,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,492,373,066.75 : 226,298,687,781.75 = 226,298,687,781.75 : x
  2. Step 2: Convert to fraction form
    105,492,373,066.75/226,298,687,781.75 = 226,298,687,781.75/x
  3. Step 3: Cross multiply
    105,492,373,066.75x = 226,298,687,781.75 × 226,298,687,781.75
  4. Step 4: Simplify right side
    105,492,373,066.75x = 51,211,096,091,741,965,516,800
  5. Step 5: Solve for x
    x = 51,211,096,091,741,965,516,800/105,492,373,066.75
  6. Step 6: Final answer
    x = 485,448,327,713.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.