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Finding the Third Proportional to 127,298,636.86 and 194,647,746.09

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Solution

The third proportional to 127,298,636.86 and 194,647,746.09 is: 297,628,835.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,298,636.86 : 194,647,746.09 = 194,647,746.09 : x
  2. Step 2: Convert to fraction form
    127,298,636.86/194,647,746.09 = 194,647,746.09/x
  3. Step 3: Cross multiply
    127,298,636.86x = 194,647,746.09 × 194,647,746.09
  4. Step 4: Simplify right side
    127,298,636.86x = 37,887,745,059,376,968
  5. Step 5: Solve for x
    x = 37,887,745,059,376,968/127,298,636.86
  6. Step 6: Final answer
    x = 297,628,835.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.