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Finding the Third Proportional to 211,866,672 and 323,958,600

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Solution

The third proportional to 211,866,672 and 323,958,600 is: 495,354,807.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,866,672 : 323,958,600 = 323,958,600 : x
  2. Step 2: Convert to fraction form
    211,866,672/323,958,600 = 323,958,600/x
  3. Step 3: Cross multiply
    211,866,672x = 323,958,600 × 323,958,600
  4. Step 4: Simplify right side
    211,866,672x = 104,949,174,513,960,000
  5. Step 5: Solve for x
    x = 104,949,174,513,960,000/211,866,672
  6. Step 6: Final answer
    x = 495,354,807.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.