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Finding the Third Proportional to 133,165,334 and 291,787,321

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Solution

The third proportional to 133,165,334 and 291,787,321 is: 639,354,388.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165,334 : 291,787,321 = 291,787,321 : x
  2. Step 2: Convert to fraction form
    133,165,334/291,787,321 = 291,787,321/x
  3. Step 3: Cross multiply
    133,165,334x = 291,787,321 × 291,787,321
  4. Step 4: Simplify right side
    133,165,334x = 85,139,840,696,357,040
  5. Step 5: Solve for x
    x = 85,139,840,696,357,040/133,165,334
  6. Step 6: Final answer
    x = 639,354,388.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.