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Finding the Third Proportional to 171,980,057 and 262,971,893

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Solution

The third proportional to 171,980,057 and 262,971,893 is: 402,106,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,980,057 : 262,971,893 = 262,971,893 : x
  2. Step 2: Convert to fraction form
    171,980,057/262,971,893 = 262,971,893/x
  3. Step 3: Cross multiply
    171,980,057x = 262,971,893 × 262,971,893
  4. Step 4: Simplify right side
    171,980,057x = 69,154,216,508,003,448
  5. Step 5: Solve for x
    x = 69,154,216,508,003,448/171,980,057
  6. Step 6: Final answer
    x = 402,106,021.56

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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.