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Finding the Third Proportional to 178,525,688 and 275,747,642

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Solution

The third proportional to 178,525,688 and 275,747,642 is: 425,914,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,525,688 : 275,747,642 = 275,747,642 : x
  2. Step 2: Convert to fraction form
    178,525,688/275,747,642 = 275,747,642/x
  3. Step 3: Cross multiply
    178,525,688x = 275,747,642 × 275,747,642
  4. Step 4: Simplify right side
    178,525,688x = 76,036,762,068,560,160
  5. Step 5: Solve for x
    x = 76,036,762,068,560,160/178,525,688
  6. Step 6: Final answer
    x = 425,914,964.51

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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.