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Finding the Third Proportional to 102,087,326 and 156,915,601

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Solution

The third proportional to 102,087,326 and 156,915,601 is: 241,190,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,326 : 156,915,601 = 156,915,601 : x
  2. Step 2: Convert to fraction form
    102,087,326/156,915,601 = 156,915,601/x
  3. Step 3: Cross multiply
    102,087,326x = 156,915,601 × 156,915,601
  4. Step 4: Simplify right side
    102,087,326x = 24,622,505,837,191,200
  5. Step 5: Solve for x
    x = 24,622,505,837,191,200/102,087,326
  6. Step 6: Final answer
    x = 241,190,623.77

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.