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Finding the Third Proportional to 155,183,742 and 233,423,505

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Solution

The third proportional to 155,183,742 and 233,423,505 is: 351,109,800.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,183,742 : 233,423,505 = 233,423,505 : x
  2. Step 2: Convert to fraction form
    155,183,742/233,423,505 = 233,423,505/x
  3. Step 3: Cross multiply
    155,183,742x = 233,423,505 × 233,423,505
  4. Step 4: Simplify right side
    155,183,742x = 54,486,532,686,485,024
  5. Step 5: Solve for x
    x = 54,486,532,686,485,024/155,183,742
  6. Step 6: Final answer
    x = 351,109,800.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.