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Finding the Third Proportional to 178,525,744 and 275,747,727

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Solution

The third proportional to 178,525,744 and 275,747,727 is: 425,915,093.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,525,744 : 275,747,727 = 275,747,727 : x
  2. Step 2: Convert to fraction form
    178,525,744/275,747,727 = 275,747,727/x
  3. Step 3: Cross multiply
    178,525,744x = 275,747,727 × 275,747,727
  4. Step 4: Simplify right side
    178,525,744x = 76,036,808,945,666,528
  5. Step 5: Solve for x
    x = 76,036,808,945,666,528/178,525,744
  6. Step 6: Final answer
    x = 425,915,093.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.