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Finding the Third Proportional to 75,176,978 and 119,622,593.50

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Solution

The third proportional to 75,176,978 and 119,622,593.50 is: 190,345,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,176,978 : 119,622,593.50 = 119,622,593.50 : x
  2. Step 2: Convert to fraction form
    75,176,978/119,622,593.50 = 119,622,593.50/x
  3. Step 3: Cross multiply
    75,176,978x = 119,622,593.50 × 119,622,593.50
  4. Step 4: Simplify right side
    75,176,978x = 14,309,564,875,666,242
  5. Step 5: Solve for x
    x = 14,309,564,875,666,242/75,176,978
  6. Step 6: Final answer
    x = 190,345,039.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.