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Finding the Third Proportional to 178,526,040.19 and 275,748,100.03

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Solution

The third proportional to 178,526,040.19 and 275,748,100.03 is: 425,915,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,526,040.19 : 275,748,100.03 = 275,748,100.03 : x
  2. Step 2: Convert to fraction form
    178,526,040.19/275,748,100.03 = 275,748,100.03/x
  3. Step 3: Cross multiply
    178,526,040.19x = 275,748,100.03 × 275,748,100.03
  4. Step 4: Simplify right side
    178,526,040.19x = 76,037,014,670,844,256
  5. Step 5: Solve for x
    x = 76,037,014,670,844,256/178,526,040.19
  6. Step 6: Final answer
    x = 425,915,539.22

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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.