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Finding the Third Proportional to 188,381,080,248 and 289,555,226,526

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Solution

The third proportional to 188,381,080,248 and 289,555,226,526 is: 445,067,143,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,381,080,248 : 289,555,226,526 = 289,555,226,526 : x
  2. Step 2: Convert to fraction form
    188,381,080,248/289,555,226,526 = 289,555,226,526/x
  3. Step 3: Cross multiply
    188,381,080,248x = 289,555,226,526 × 289,555,226,526
  4. Step 4: Simplify right side
    188,381,080,248x = 83,842,229,208,523,173,003,264
  5. Step 5: Solve for x
    x = 83,842,229,208,523,173,003,264/188,381,080,248
  6. Step 6: Final answer
    x = 445,067,143,144.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.