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Finding the Third Proportional to 174,750,296 and 291,215,572

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Solution

The third proportional to 174,750,296 and 291,215,572 is: 485,301,091.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,296 : 291,215,572 = 291,215,572 : x
  2. Step 2: Convert to fraction form
    174,750,296/291,215,572 = 291,215,572/x
  3. Step 3: Cross multiply
    174,750,296x = 291,215,572 × 291,215,572
  4. Step 4: Simplify right side
    174,750,296x = 84,806,509,375,287,184
  5. Step 5: Solve for x
    x = 84,806,509,375,287,184/174,750,296
  6. Step 6: Final answer
    x = 485,301,091.42

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.