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Finding the Third Proportional to 102,087,054 and 156,915,189

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Solution

The third proportional to 102,087,054 and 156,915,189 is: 241,189,999.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087,054 : 156,915,189 = 156,915,189 : x
  2. Step 2: Convert to fraction form
    102,087,054/156,915,189 = 156,915,189/x
  3. Step 3: Cross multiply
    102,087,054x = 156,915,189 × 156,915,189
  4. Step 4: Simplify right side
    102,087,054x = 24,622,376,538,905,720
  5. Step 5: Solve for x
    x = 24,622,376,538,905,720/102,087,054
  6. Step 6: Final answer
    x = 241,189,999.85

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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.