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Finding the Third Proportional to 165,655,278 and 360,399,109.50

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Solution

The third proportional to 165,655,278 and 360,399,109.50 is: 784,083,185.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,655,278 : 360,399,109.50 = 360,399,109.50 : x
  2. Step 2: Convert to fraction form
    165,655,278/360,399,109.50 = 360,399,109.50/x
  3. Step 3: Cross multiply
    165,655,278x = 360,399,109.50 × 360,399,109.50
  4. Step 4: Simplify right side
    165,655,278x = 129,887,518,128,392,992
  5. Step 5: Solve for x
    x = 129,887,518,128,392,992/165,655,278
  6. Step 6: Final answer
    x = 784,083,185.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.