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Finding the Third Proportional to 189,950,954.50 and 283,808,256

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Solution

The third proportional to 189,950,954.50 and 283,808,256 is: 424,041,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,950,954.50 : 283,808,256 = 283,808,256 : x
  2. Step 2: Convert to fraction form
    189,950,954.50/283,808,256 = 283,808,256/x
  3. Step 3: Cross multiply
    189,950,954.50x = 283,808,256 × 283,808,256
  4. Step 4: Simplify right side
    189,950,954.50x = 80,547,126,173,761,536
  5. Step 5: Solve for x
    x = 80,547,126,173,761,536/189,950,954.50
  6. Step 6: Final answer
    x = 424,041,702.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.