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Finding the Third Proportional to 199,276,643 and 431,305,690

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Solution

The third proportional to 199,276,643 and 431,305,690 is: 933,499,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,276,643 : 431,305,690 = 431,305,690 : x
  2. Step 2: Convert to fraction form
    199,276,643/431,305,690 = 431,305,690/x
  3. Step 3: Cross multiply
    199,276,643x = 431,305,690 × 431,305,690
  4. Step 4: Simplify right side
    199,276,643x = 186,024,598,226,376,096
  5. Step 5: Solve for x
    x = 186,024,598,226,376,096/199,276,643
  6. Step 6: Final answer
    x = 933,499,257.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.