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Finding the Third Proportional to 112,650,563,728.50 and 238,731,704,407.50

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Solution

The third proportional to 112,650,563,728.50 and 238,731,704,407.50 is: 505,925,801,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,650,563,728.50 : 238,731,704,407.50 = 238,731,704,407.50 : x
  2. Step 2: Convert to fraction form
    112,650,563,728.50/238,731,704,407.50 = 238,731,704,407.50/x
  3. Step 3: Cross multiply
    112,650,563,728.50x = 238,731,704,407.50 × 238,731,704,407.50
  4. Step 4: Simplify right side
    112,650,563,728.50x = 56,992,826,689,309,955,325,952
  5. Step 5: Solve for x
    x = 56,992,826,689,309,955,325,952/112,650,563,728.50
  6. Step 6: Final answer
    x = 505,925,801,016.57

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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.