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Finding the Third Proportional to 178,525,741.50 and 275,747,724

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Solution

The third proportional to 178,525,741.50 and 275,747,724 is: 425,915,090.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,525,741.50 : 275,747,724 = 275,747,724 : x
  2. Step 2: Convert to fraction form
    178,525,741.50/275,747,724 = 275,747,724/x
  3. Step 3: Cross multiply
    178,525,741.50x = 275,747,724 × 275,747,724
  4. Step 4: Simplify right side
    178,525,741.50x = 76,036,807,291,180,176
  5. Step 5: Solve for x
    x = 76,036,807,291,180,176/178,525,741.50
  6. Step 6: Final answer
    x = 425,915,090.18

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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.