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Finding the Third Proportional to 126,459,247 and 189,688,859

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Solution

The third proportional to 126,459,247 and 189,688,859 is: 284,533,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,459,247 : 189,688,859 = 189,688,859 : x
  2. Step 2: Convert to fraction form
    126,459,247/189,688,859 = 189,688,859/x
  3. Step 3: Cross multiply
    126,459,247x = 189,688,859 × 189,688,859
  4. Step 4: Simplify right side
    126,459,247x = 35,981,863,228,721,880
  5. Step 5: Solve for x
    x = 35,981,863,228,721,880/126,459,247
  6. Step 6: Final answer
    x = 284,533,271.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.