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Finding the Third Proportional to 171,918,536.63 and 268,093,009.13

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Solution

The third proportional to 171,918,536.63 and 268,093,009.13 is: 418,069,295.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,918,536.63 : 268,093,009.13 = 268,093,009.13 : x
  2. Step 2: Convert to fraction form
    171,918,536.63/268,093,009.13 = 268,093,009.13/x
  3. Step 3: Cross multiply
    171,918,536.63x = 268,093,009.13 × 268,093,009.13
  4. Step 4: Simplify right side
    171,918,536.63x = 71,873,861,541,697,336
  5. Step 5: Solve for x
    x = 71,873,861,541,697,336/171,918,536.63
  6. Step 6: Final answer
    x = 418,069,295.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.