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Finding the Third Proportional to 133,165,290 and 291,787,260

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Solution

The third proportional to 133,165,290 and 291,787,260 is: 639,354,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,165,290 : 291,787,260 = 291,787,260 : x
  2. Step 2: Convert to fraction form
    133,165,290/291,787,260 = 291,787,260/x
  3. Step 3: Cross multiply
    133,165,290x = 291,787,260 × 291,787,260
  4. Step 4: Simplify right side
    133,165,290x = 85,139,805,098,307,600
  5. Step 5: Solve for x
    x = 85,139,805,098,307,600/133,165,290
  6. Step 6: Final answer
    x = 639,354,332.49

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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.