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Finding the Third Proportional to 189,164,740.75 and 266,269,560

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Solution

The third proportional to 189,164,740.75 and 266,269,560 is: 374,802,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,164,740.75 : 266,269,560 = 266,269,560 : x
  2. Step 2: Convert to fraction form
    189,164,740.75/266,269,560 = 266,269,560/x
  3. Step 3: Cross multiply
    189,164,740.75x = 266,269,560 × 266,269,560
  4. Step 4: Simplify right side
    189,164,740.75x = 70,899,478,582,593,600
  5. Step 5: Solve for x
    x = 70,899,478,582,593,600/189,164,740.75
  6. Step 6: Final answer
    x = 374,802,821.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.