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Finding the Third Proportional to 145,460,524 and 323,206,083

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Solution

The third proportional to 145,460,524 and 323,206,083 is: 718,147,915.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,460,524 : 323,206,083 = 323,206,083 : x
  2. Step 2: Convert to fraction form
    145,460,524/323,206,083 = 323,206,083/x
  3. Step 3: Cross multiply
    145,460,524x = 323,206,083 × 323,206,083
  4. Step 4: Simplify right side
    145,460,524x = 104,462,172,088,202,896
  5. Step 5: Solve for x
    x = 104,462,172,088,202,896/145,460,524
  6. Step 6: Final answer
    x = 718,147,915.43

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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.