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Finding the Third Proportional to 123,348,656.25 and 274,270,191.75

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Solution

The third proportional to 123,348,656.25 and 274,270,191.75 is: 609,849,676.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,348,656.25 : 274,270,191.75 = 274,270,191.75 : x
  2. Step 2: Convert to fraction form
    123,348,656.25/274,270,191.75 = 274,270,191.75/x
  3. Step 3: Cross multiply
    123,348,656.25x = 274,270,191.75 × 274,270,191.75
  4. Step 4: Simplify right side
    123,348,656.25x = 75,224,138,082,581,776
  5. Step 5: Solve for x
    x = 75,224,138,082,581,776/123,348,656.25
  6. Step 6: Final answer
    x = 609,849,676.27

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.