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Finding the Third Proportional to 123,406,224 and 180,566,657

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Solution

The third proportional to 123,406,224 and 180,566,657 is: 264,203,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,406,224 : 180,566,657 = 180,566,657 : x
  2. Step 2: Convert to fraction form
    123,406,224/180,566,657 = 180,566,657/x
  3. Step 3: Cross multiply
    123,406,224x = 180,566,657 × 180,566,657
  4. Step 4: Simplify right side
    123,406,224x = 32,604,317,620,155,648
  5. Step 5: Solve for x
    x = 32,604,317,620,155,648/123,406,224
  6. Step 6: Final answer
    x = 264,203,186.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.