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Finding the Third Proportional to 165,655,307 and 360,399,168

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Solution

The third proportional to 165,655,307 and 360,399,168 is: 784,083,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,307 : 360,399,168 = 360,399,168 : x
  2. Step 2: Convert to fraction form
    165,655,307/360,399,168 = 360,399,168/x
  3. Step 3: Cross multiply
    165,655,307x = 360,399,168 × 360,399,168
  4. Step 4: Simplify right side
    165,655,307x = 129,887,560,295,092,224
  5. Step 5: Solve for x
    x = 129,887,560,295,092,224/165,655,307
  6. Step 6: Final answer
    x = 784,083,303.14

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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.