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Finding the Third Proportional to 141,315,468 and 213,316,722

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Solution

The third proportional to 141,315,468 and 213,316,722 is: 322,003,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,315,468 : 213,316,722 = 213,316,722 : x
  2. Step 2: Convert to fraction form
    141,315,468/213,316,722 = 213,316,722/x
  3. Step 3: Cross multiply
    141,315,468x = 213,316,722 × 213,316,722
  4. Step 4: Simplify right side
    141,315,468x = 45,504,023,884,825,280
  5. Step 5: Solve for x
    x = 45,504,023,884,825,280/141,315,468
  6. Step 6: Final answer
    x = 322,003,136.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.