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Finding the Third Proportional to 193,806,384.75 and 297,894,426.75

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Solution

The third proportional to 193,806,384.75 and 297,894,426.75 is: 457,885,273.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,806,384.75 : 297,894,426.75 = 297,894,426.75 : x
  2. Step 2: Convert to fraction form
    193,806,384.75/297,894,426.75 = 297,894,426.75/x
  3. Step 3: Cross multiply
    193,806,384.75x = 297,894,426.75 × 297,894,426.75
  4. Step 4: Simplify right side
    193,806,384.75x = 88,741,089,488,711,120
  5. Step 5: Solve for x
    x = 88,741,089,488,711,120/193,806,384.75
  6. Step 6: Final answer
    x = 457,885,273.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.