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Finding the Third Proportional to 189,688,880 and 284,533,301

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Solution

The third proportional to 189,688,880 and 284,533,301 is: 426,799,923.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,688,880 : 284,533,301 = 284,533,301 : x
  2. Step 2: Convert to fraction form
    189,688,880/284,533,301 = 284,533,301/x
  3. Step 3: Cross multiply
    189,688,880x = 284,533,301 × 284,533,301
  4. Step 4: Simplify right side
    189,688,880x = 80,959,199,377,956,608
  5. Step 5: Solve for x
    x = 80,959,199,377,956,608/189,688,880
  6. Step 6: Final answer
    x = 426,799,923.00

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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.