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Finding the Third Proportional to 149,977,884 and 233,735,346

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Solution

The third proportional to 149,977,884 and 233,735,346 is: 364,268,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,977,884 : 233,735,346 = 233,735,346 : x
  2. Step 2: Convert to fraction form
    149,977,884/233,735,346 = 233,735,346/x
  3. Step 3: Cross multiply
    149,977,884x = 233,735,346 × 233,735,346
  4. Step 4: Simplify right side
    149,977,884x = 54,632,211,969,739,712
  5. Step 5: Solve for x
    x = 54,632,211,969,739,712/149,977,884
  6. Step 6: Final answer
    x = 364,268,454.21

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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.