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Finding the Third Proportional to 268,337,146 and 567,613,201

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Solution

The third proportional to 268,337,146 and 567,613,201 is: 1,200,671,434.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,337,146 : 567,613,201 = 567,613,201 : x
  2. Step 2: Convert to fraction form
    268,337,146/567,613,201 = 567,613,201/x
  3. Step 3: Cross multiply
    268,337,146x = 567,613,201 × 567,613,201
  4. Step 4: Simplify right side
    268,337,146x = 322,184,745,949,466,432
  5. Step 5: Solve for x
    x = 322,184,745,949,466,432/268,337,146
  6. Step 6: Final answer
    x = 1,200,671,434.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.