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Finding the Third Proportional to 296,376,472,190 and 399,881,445,177

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Solution

The third proportional to 296,376,472,190 and 399,881,445,177 is: 539,533,954,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,376,472,190 : 399,881,445,177 = 399,881,445,177 : x
  2. Step 2: Convert to fraction form
    296,376,472,190/399,881,445,177 = 399,881,445,177/x
  3. Step 3: Cross multiply
    296,376,472,190x = 399,881,445,177 × 399,881,445,177
  4. Step 4: Simplify right side
    296,376,472,190x = 159,905,170,196,846,040,055,808
  5. Step 5: Solve for x
    x = 159,905,170,196,846,040,055,808/296,376,472,190
  6. Step 6: Final answer
    x = 539,533,954,956.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.