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Finding the Third Proportional to 178,538,566.50 and 275,763,487.50

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Solution

The third proportional to 178,538,566.50 and 275,763,487.50 is: 425,933,189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,538,566.50 : 275,763,487.50 = 275,763,487.50 : x
  2. Step 2: Convert to fraction form
    178,538,566.50/275,763,487.50 = 275,763,487.50/x
  3. Step 3: Cross multiply
    178,538,566.50x = 275,763,487.50 × 275,763,487.50
  4. Step 4: Simplify right side
    178,538,566.50x = 76,045,501,038,162,656
  5. Step 5: Solve for x
    x = 76,045,501,038,162,656/178,538,566.50
  6. Step 6: Final answer
    x = 425,933,189.28

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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.