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Finding the Third Proportional to 123,540,093 and 263,495,538

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Solution

The third proportional to 123,540,093 and 263,495,538 is: 562,002,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,540,093 : 263,495,538 = 263,495,538 : x
  2. Step 2: Convert to fraction form
    123,540,093/263,495,538 = 263,495,538/x
  3. Step 3: Cross multiply
    123,540,093x = 263,495,538 × 263,495,538
  4. Step 4: Simplify right side
    123,540,093x = 69,429,898,545,909,440
  5. Step 5: Solve for x
    x = 69,429,898,545,909,440/123,540,093
  6. Step 6: Final answer
    x = 562,002,964.87

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.