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Finding the Third Proportional to 205,707,746 and 439,313,710

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Solution

The third proportional to 205,707,746 and 439,313,710 is: 938,207,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707,746 : 439,313,710 = 439,313,710 : x
  2. Step 2: Convert to fraction form
    205,707,746/439,313,710 = 439,313,710/x
  3. Step 3: Cross multiply
    205,707,746x = 439,313,710 × 439,313,710
  4. Step 4: Simplify right side
    205,707,746x = 192,996,535,793,964,096
  5. Step 5: Solve for x
    x = 192,996,535,793,964,096/205,707,746
  6. Step 6: Final answer
    x = 938,207,430.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.