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Finding the Third Proportional to 280,759,086 and 605,910,106

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Solution

The third proportional to 280,759,086 and 605,910,106 is: 1,307,623,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,759,086 : 605,910,106 = 605,910,106 : x
  2. Step 2: Convert to fraction form
    280,759,086/605,910,106 = 605,910,106/x
  3. Step 3: Cross multiply
    280,759,086x = 605,910,106 × 605,910,106
  4. Step 4: Simplify right side
    280,759,086x = 367,127,056,552,931,264
  5. Step 5: Solve for x
    x = 367,127,056,552,931,264/280,759,086
  6. Step 6: Final answer
    x = 1,307,623,064.97

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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.