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Finding the Third Proportional to 127,246,101.75 and 194,570,070.75

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Solution

The third proportional to 127,246,101.75 and 194,570,070.75 is: 297,514,123.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,246,101.75 : 194,570,070.75 = 194,570,070.75 : x
  2. Step 2: Convert to fraction form
    127,246,101.75/194,570,070.75 = 194,570,070.75/x
  3. Step 3: Cross multiply
    127,246,101.75x = 194,570,070.75 × 194,570,070.75
  4. Step 4: Simplify right side
    127,246,101.75x = 37,857,512,431,660,008
  5. Step 5: Solve for x
    x = 37,857,512,431,660,008/127,246,101.75
  6. Step 6: Final answer
    x = 297,514,123.51

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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.