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Finding the Third Proportional to 112,093,305.75 and 242,609,838.75

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Solution

The third proportional to 112,093,305.75 and 242,609,838.75 is: 525,094,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,093,305.75 : 242,609,838.75 = 242,609,838.75 : x
  2. Step 2: Convert to fraction form
    112,093,305.75/242,609,838.75 = 242,609,838.75/x
  3. Step 3: Cross multiply
    112,093,305.75x = 242,609,838.75 × 242,609,838.75
  4. Step 4: Simplify right side
    112,093,305.75x = 58,859,533,858,301,000
  5. Step 5: Solve for x
    x = 58,859,533,858,301,000/112,093,305.75
  6. Step 6: Final answer
    x = 525,094,103.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.