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Finding the Third Proportional to 149,572,862 and 223,761,381

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Solution

The third proportional to 149,572,862 and 223,761,381 is: 334,747,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,572,862 : 223,761,381 = 223,761,381 : x
  2. Step 2: Convert to fraction form
    149,572,862/223,761,381 = 223,761,381/x
  3. Step 3: Cross multiply
    149,572,862x = 223,761,381 × 223,761,381
  4. Step 4: Simplify right side
    149,572,862x = 50,069,155,627,027,160
  5. Step 5: Solve for x
    x = 50,069,155,627,027,160/149,572,862
  6. Step 6: Final answer
    x = 334,747,593.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.