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Finding the Third Proportional to 128,110,719,697.50 and 275,501,662,170

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Solution

The third proportional to 128,110,719,697.50 and 275,501,662,170 is: 592,465,377,117.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,110,719,697.50 : 275,501,662,170 = 275,501,662,170 : x
  2. Step 2: Convert to fraction form
    128,110,719,697.50/275,501,662,170 = 275,501,662,170/x
  3. Step 3: Cross multiply
    128,110,719,697.50x = 275,501,662,170 × 275,501,662,170
  4. Step 4: Simplify right side
    128,110,719,697.50x = 75,901,165,858,432,802,095,104
  5. Step 5: Solve for x
    x = 75,901,165,858,432,802,095,104/128,110,719,697.50
  6. Step 6: Final answer
    x = 592,465,377,117.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.