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Finding the Third Proportional to 149,133,065 and 324,080,472

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Solution

The third proportional to 149,133,065 and 324,080,472 is: 704,257,988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,133,065 : 324,080,472 = 324,080,472 : x
  2. Step 2: Convert to fraction form
    149,133,065/324,080,472 = 324,080,472/x
  3. Step 3: Cross multiply
    149,133,065x = 324,080,472 × 324,080,472
  4. Step 4: Simplify right side
    149,133,065x = 105,028,152,331,742,784
  5. Step 5: Solve for x
    x = 105,028,152,331,742,784/149,133,065
  6. Step 6: Final answer
    x = 704,257,988.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.