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Finding the Third Proportional to 297,178,951 and 450,256,146

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Solution

The third proportional to 297,178,951 and 450,256,146 is: 682,183,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,178,951 : 450,256,146 = 450,256,146 : x
  2. Step 2: Convert to fraction form
    297,178,951/450,256,146 = 450,256,146/x
  3. Step 3: Cross multiply
    297,178,951x = 450,256,146 × 450,256,146
  4. Step 4: Simplify right side
    297,178,951x = 202,730,597,010,773,312
  5. Step 5: Solve for x
    x = 202,730,597,010,773,312/297,178,951
  6. Step 6: Final answer
    x = 682,183,567.61

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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.