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Finding the Third Proportional to 280,759,090 and 605,910,114

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Solution

The third proportional to 280,759,090 and 605,910,114 is: 1,307,623,080.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759,090 : 605,910,114 = 605,910,114 : x
  2. Step 2: Convert to fraction form
    280,759,090/605,910,114 = 605,910,114/x
  3. Step 3: Cross multiply
    280,759,090x = 605,910,114 × 605,910,114
  4. Step 4: Simplify right side
    280,759,090x = 367,127,066,247,492,992
  5. Step 5: Solve for x
    x = 367,127,066,247,492,992/280,759,090
  6. Step 6: Final answer
    x = 1,307,623,080.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.