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Finding the Third Proportional to 120,744,574 and 188,291,272

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Solution

The third proportional to 120,744,574 and 188,291,272 is: 293,624,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744,574 : 188,291,272 = 188,291,272 : x
  2. Step 2: Convert to fraction form
    120,744,574/188,291,272 = 188,291,272/x
  3. Step 3: Cross multiply
    120,744,574x = 188,291,272 × 188,291,272
  4. Step 4: Simplify right side
    120,744,574x = 35,453,603,111,377,984
  5. Step 5: Solve for x
    x = 35,453,603,111,377,984/120,744,574
  6. Step 6: Final answer
    x = 293,624,814.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.