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Finding the Third Proportional to 200,832,562 and 310,337,230

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Solution

The third proportional to 200,832,562 and 310,337,230 is: 479,549,707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,832,562 : 310,337,230 = 310,337,230 : x
  2. Step 2: Convert to fraction form
    200,832,562/310,337,230 = 310,337,230/x
  3. Step 3: Cross multiply
    200,832,562x = 310,337,230 × 310,337,230
  4. Step 4: Simplify right side
    200,832,562x = 96,309,196,324,072,896
  5. Step 5: Solve for x
    x = 96,309,196,324,072,896/200,832,562
  6. Step 6: Final answer
    x = 479,549,707.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.