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Finding the Third Proportional to 149,977,885 and 233,735,347.50

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Solution

The third proportional to 149,977,885 and 233,735,347.50 is: 364,268,456.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,977,885 : 233,735,347.50 = 233,735,347.50 : x
  2. Step 2: Convert to fraction form
    149,977,885/233,735,347.50 = 233,735,347.50/x
  3. Step 3: Cross multiply
    149,977,885x = 233,735,347.50 × 233,735,347.50
  4. Step 4: Simplify right side
    149,977,885x = 54,632,212,670,945,760
  5. Step 5: Solve for x
    x = 54,632,212,670,945,760/149,977,885
  6. Step 6: Final answer
    x = 364,268,456.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.