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Finding the Third Proportional to 157,414,242 and 345,819,729

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Solution

The third proportional to 157,414,242 and 345,819,729 is: 759,723,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,414,242 : 345,819,729 = 345,819,729 : x
  2. Step 2: Convert to fraction form
    157,414,242/345,819,729 = 345,819,729/x
  3. Step 3: Cross multiply
    157,414,242x = 345,819,729 × 345,819,729
  4. Step 4: Simplify right side
    157,414,242x = 119,591,284,965,633,440
  5. Step 5: Solve for x
    x = 119,591,284,965,633,440/157,414,242
  6. Step 6: Final answer
    x = 759,723,411.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.