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Finding the Third Proportional to 150,270,990.75 and 229,875,640.88

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Solution

The third proportional to 150,270,990.75 and 229,875,640.88 is: 351,650,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270,990.75 : 229,875,640.88 = 229,875,640.88 : x
  2. Step 2: Convert to fraction form
    150,270,990.75/229,875,640.88 = 229,875,640.88/x
  3. Step 3: Cross multiply
    150,270,990.75x = 229,875,640.88 × 229,875,640.88
  4. Step 4: Simplify right side
    150,270,990.75x = 52,842,810,267,691,968
  5. Step 5: Solve for x
    x = 52,842,810,267,691,968/150,270,990.75
  6. Step 6: Final answer
    x = 351,650,108.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.