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Finding the Third Proportional to 112,650,563,731 and 238,731,704,412

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Solution

The third proportional to 112,650,563,731 and 238,731,704,412 is: 505,925,801,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,650,563,731 : 238,731,704,412 = 238,731,704,412 : x
  2. Step 2: Convert to fraction form
    112,650,563,731/238,731,704,412 = 238,731,704,412/x
  3. Step 3: Cross multiply
    112,650,563,731x = 238,731,704,412 × 238,731,704,412
  4. Step 4: Simplify right side
    112,650,563,731x = 56,992,826,691,458,537,881,600
  5. Step 5: Solve for x
    x = 56,992,826,691,458,537,881,600/112,650,563,731
  6. Step 6: Final answer
    x = 505,925,801,024.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.