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Finding the Third Proportional to 175,460,262 and 380,178,636

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Solution

The third proportional to 175,460,262 and 380,178,636 is: 823,752,305.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,460,262 : 380,178,636 = 380,178,636 : x
  2. Step 2: Convert to fraction form
    175,460,262/380,178,636 = 380,178,636/x
  3. Step 3: Cross multiply
    175,460,262x = 380,178,636 × 380,178,636
  4. Step 4: Simplify right side
    175,460,262x = 144,535,795,270,820,480
  5. Step 5: Solve for x
    x = 144,535,795,270,820,480/175,460,262
  6. Step 6: Final answer
    x = 823,752,305.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.