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Finding the Third Proportional to 223,285,536 and 473,083,992

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Solution

The third proportional to 223,285,536 and 473,083,992 is: 1,002,341,967.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,285,536 : 473,083,992 = 473,083,992 : x
  2. Step 2: Convert to fraction form
    223,285,536/473,083,992 = 473,083,992/x
  3. Step 3: Cross multiply
    223,285,536x = 473,083,992 × 473,083,992
  4. Step 4: Simplify right side
    223,285,536x = 223,808,463,486,656,064
  5. Step 5: Solve for x
    x = 223,808,463,486,656,064/223,285,536
  6. Step 6: Final answer
    x = 1,002,341,967.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.