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Finding the Third Proportional to 149,292,183 and 233,681,359.50

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Solution

The third proportional to 149,292,183 and 233,681,359.50 is: 365,772,518.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,292,183 : 233,681,359.50 = 233,681,359.50 : x
  2. Step 2: Convert to fraction form
    149,292,183/233,681,359.50 = 233,681,359.50/x
  3. Step 3: Cross multiply
    149,292,183x = 233,681,359.50 × 233,681,359.50
  4. Step 4: Simplify right side
    149,292,183x = 54,606,977,777,768,240
  5. Step 5: Solve for x
    x = 54,606,977,777,768,240/149,292,183
  6. Step 6: Final answer
    x = 365,772,518.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.