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Finding the Third Proportional to 150,956,320 and 329,240,028

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Solution

The third proportional to 150,956,320 and 329,240,028 is: 718,081,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,956,320 : 329,240,028 = 329,240,028 : x
  2. Step 2: Convert to fraction form
    150,956,320/329,240,028 = 329,240,028/x
  3. Step 3: Cross multiply
    150,956,320x = 329,240,028 × 329,240,028
  4. Step 4: Simplify right side
    150,956,320x = 108,398,996,037,440,784
  5. Step 5: Solve for x
    x = 108,398,996,037,440,784/150,956,320
  6. Step 6: Final answer
    x = 718,081,866.58

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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.