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Finding the Third Proportional to 145,460,932 and 323,206,892

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Solution

The third proportional to 145,460,932 and 323,206,892 is: 718,149,496.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,460,932 : 323,206,892 = 323,206,892 : x
  2. Step 2: Convert to fraction form
    145,460,932/323,206,892 = 323,206,892/x
  3. Step 3: Cross multiply
    145,460,932x = 323,206,892 × 323,206,892
  4. Step 4: Simplify right side
    145,460,932x = 104,462,695,036,299,664
  5. Step 5: Solve for x
    x = 104,462,695,036,299,664/145,460,932
  6. Step 6: Final answer
    x = 718,149,496.23

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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.