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Finding the Third Proportional to 107,601,998 and 171,299,590

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Solution

The third proportional to 107,601,998 and 171,299,590 is: 272,704,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,601,998 : 171,299,590 = 171,299,590 : x
  2. Step 2: Convert to fraction form
    107,601,998/171,299,590 = 171,299,590/x
  3. Step 3: Cross multiply
    107,601,998x = 171,299,590 × 171,299,590
  4. Step 4: Simplify right side
    107,601,998x = 29,343,549,534,168,100
  5. Step 5: Solve for x
    x = 29,343,549,534,168,100/107,601,998
  6. Step 6: Final answer
    x = 272,704,504.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.