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Finding the Third Proportional to 322,898,207,194 and 691,853,434,258

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Solution

The third proportional to 322,898,207,194 and 691,853,434,258 is: 1,482,390,313,201.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,898,207,194 : 691,853,434,258 = 691,853,434,258 : x
  2. Step 2: Convert to fraction form
    322,898,207,194/691,853,434,258 = 691,853,434,258/x
  3. Step 3: Cross multiply
    322,898,207,194x = 691,853,434,258 × 691,853,434,258
  4. Step 4: Simplify right side
    322,898,207,194x = 478,661,174,494,588,722,741,248
  5. Step 5: Solve for x
    x = 478,661,174,494,588,722,741,248/322,898,207,194
  6. Step 6: Final answer
    x = 1,482,390,313,201.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.