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Finding the Third Proportional to 152,153,856 and 323,983,420

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Solution

The third proportional to 152,153,856 and 323,983,420 is: 689,862,611.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,153,856 : 323,983,420 = 323,983,420 : x
  2. Step 2: Convert to fraction form
    152,153,856/323,983,420 = 323,983,420/x
  3. Step 3: Cross multiply
    152,153,856x = 323,983,420 × 323,983,420
  4. Step 4: Simplify right side
    152,153,856x = 104,965,256,434,896,400
  5. Step 5: Solve for x
    x = 104,965,256,434,896,400/152,153,856
  6. Step 6: Final answer
    x = 689,862,611.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.