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Finding the Third Proportional to 230,992,608 and 513,631,440

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Solution

The third proportional to 230,992,608 and 513,631,440 is: 1,142,102,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,992,608 : 513,631,440 = 513,631,440 : x
  2. Step 2: Convert to fraction form
    230,992,608/513,631,440 = 513,631,440/x
  3. Step 3: Cross multiply
    230,992,608x = 513,631,440 × 513,631,440
  4. Step 4: Simplify right side
    230,992,608x = 263,817,256,156,473,600
  5. Step 5: Solve for x
    x = 263,817,256,156,473,600/230,992,608
  6. Step 6: Final answer
    x = 1,142,102,591.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.