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Finding the Third Proportional to 165,764,153 and 360,936,409

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Solution

The third proportional to 165,764,153 and 360,936,409 is: 785,906,295.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,764,153 : 360,936,409 = 360,936,409 : x
  2. Step 2: Convert to fraction form
    165,764,153/360,936,409 = 360,936,409/x
  3. Step 3: Cross multiply
    165,764,153x = 360,936,409 × 360,936,409
  4. Step 4: Simplify right side
    165,764,153x = 130,275,091,341,815,280
  5. Step 5: Solve for x
    x = 130,275,091,341,815,280/165,764,153
  6. Step 6: Final answer
    x = 785,906,295.08

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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.