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Finding the Third Proportional to 159,642,405 and 344,203,491

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Solution

The third proportional to 159,642,405 and 344,203,491 is: 742,133,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,642,405 : 344,203,491 = 344,203,491 : x
  2. Step 2: Convert to fraction form
    159,642,405/344,203,491 = 344,203,491/x
  3. Step 3: Cross multiply
    159,642,405x = 344,203,491 × 344,203,491
  4. Step 4: Simplify right side
    159,642,405x = 118,476,043,216,587,088
  5. Step 5: Solve for x
    x = 118,476,043,216,587,088/159,642,405
  6. Step 6: Final answer
    x = 742,133,916.21

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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.