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Finding the Third Proportional to 165,817,366.50 and 354,928,128

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Solution

The third proportional to 165,817,366.50 and 354,928,128 is: 759,715,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,817,366.50 : 354,928,128 = 354,928,128 : x
  2. Step 2: Convert to fraction form
    165,817,366.50/354,928,128 = 354,928,128/x
  3. Step 3: Cross multiply
    165,817,366.50x = 354,928,128 × 354,928,128
  4. Step 4: Simplify right side
    165,817,366.50x = 125,973,976,045,584,384
  5. Step 5: Solve for x
    x = 125,973,976,045,584,384/165,817,366.50
  6. Step 6: Final answer
    x = 759,715,213.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.