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Finding the Third Proportional to 178,525,739 and 275,747,720.50

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Solution

The third proportional to 178,525,739 and 275,747,720.50 is: 425,915,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,525,739 : 275,747,720.50 = 275,747,720.50 : x
  2. Step 2: Convert to fraction form
    178,525,739/275,747,720.50 = 275,747,720.50/x
  3. Step 3: Cross multiply
    178,525,739x = 275,747,720.50 × 275,747,720.50
  4. Step 4: Simplify right side
    178,525,739x = 76,036,805,360,946,128
  5. Step 5: Solve for x
    x = 76,036,805,360,946,128/178,525,739
  6. Step 6: Final answer
    x = 425,915,085.34

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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.