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Finding the Third Proportional to 108,268,820.50 and 255,503,425.50

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Solution

The third proportional to 108,268,820.50 and 255,503,425.50 is: 602,962,146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,268,820.50 : 255,503,425.50 = 255,503,425.50 : x
  2. Step 2: Convert to fraction form
    108,268,820.50/255,503,425.50 = 255,503,425.50/x
  3. Step 3: Cross multiply
    108,268,820.50x = 255,503,425.50 × 255,503,425.50
  4. Step 4: Simplify right side
    108,268,820.50x = 65,282,000,442,234,048
  5. Step 5: Solve for x
    x = 65,282,000,442,234,048/108,268,820.50
  6. Step 6: Final answer
    x = 602,962,146.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.