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Finding the Third Proportional to 159,536,333 and 347,024,986

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Solution

The third proportional to 159,536,333 and 347,024,986 is: 754,852,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536,333 : 347,024,986 = 347,024,986 : x
  2. Step 2: Convert to fraction form
    159,536,333/347,024,986 = 347,024,986/x
  3. Step 3: Cross multiply
    159,536,333x = 347,024,986 × 347,024,986
  4. Step 4: Simplify right side
    159,536,333x = 120,426,340,908,300,192
  5. Step 5: Solve for x
    x = 120,426,340,908,300,192/159,536,333
  6. Step 6: Final answer
    x = 754,852,130.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.