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Finding the Third Proportional to 203,151,913.88 and 309,480,951.38

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Solution

The third proportional to 203,151,913.88 and 309,480,951.38 is: 471,462,254.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,151,913.88 : 309,480,951.38 = 309,480,951.38 : x
  2. Step 2: Convert to fraction form
    203,151,913.88/309,480,951.38 = 309,480,951.38/x
  3. Step 3: Cross multiply
    203,151,913.88x = 309,480,951.38 × 309,480,951.38
  4. Step 4: Simplify right side
    203,151,913.88x = 95,778,459,263,975,120
  5. Step 5: Solve for x
    x = 95,778,459,263,975,120/203,151,913.88
  6. Step 6: Final answer
    x = 471,462,254.22

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.