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Finding the Third Proportional to 229,936,608 and 347,292,168

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Solution

The third proportional to 229,936,608 and 347,292,168 is: 524,543,921.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,936,608 : 347,292,168 = 347,292,168 : x
  2. Step 2: Convert to fraction form
    229,936,608/347,292,168 = 347,292,168/x
  3. Step 3: Cross multiply
    229,936,608x = 347,292,168 × 347,292,168
  4. Step 4: Simplify right side
    229,936,608x = 120,611,849,954,140,224
  5. Step 5: Solve for x
    x = 120,611,849,954,140,224/229,936,608
  6. Step 6: Final answer
    x = 524,543,921.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.