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Finding the Third Proportional to 112,093,309.50 and 242,609,845.50

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Solution

The third proportional to 112,093,309.50 and 242,609,845.50 is: 525,094,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,093,309.50 : 242,609,845.50 = 242,609,845.50 : x
  2. Step 2: Convert to fraction form
    112,093,309.50/242,609,845.50 = 242,609,845.50/x
  3. Step 3: Cross multiply
    112,093,309.50x = 242,609,845.50 × 242,609,845.50
  4. Step 4: Simplify right side
    112,093,309.50x = 58,859,537,133,533,872
  5. Step 5: Solve for x
    x = 58,859,537,133,533,872/112,093,309.50
  6. Step 6: Final answer
    x = 525,094,114.86

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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.