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Finding the Third Proportional to 177,430,692 and 388,309,200

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Solution

The third proportional to 177,430,692 and 388,309,200 is: 849,819,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,430,692 : 388,309,200 = 388,309,200 : x
  2. Step 2: Convert to fraction form
    177,430,692/388,309,200 = 388,309,200/x
  3. Step 3: Cross multiply
    177,430,692x = 388,309,200 × 388,309,200
  4. Step 4: Simplify right side
    177,430,692x = 150,784,034,804,640,000
  5. Step 5: Solve for x
    x = 150,784,034,804,640,000/177,430,692
  6. Step 6: Final answer
    x = 849,819,346.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.