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Finding the Third Proportional to 290,286,767,169 and 403,620,546,717.57

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Solution

The third proportional to 290,286,767,169 and 403,620,546,717.57 is: 561,202,108,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,286,767,169 : 403,620,546,717.57 = 403,620,546,717.57 : x
  2. Step 2: Convert to fraction form
    290,286,767,169/403,620,546,717.57 = 403,620,546,717.57/x
  3. Step 3: Cross multiply
    290,286,767,169x = 403,620,546,717.57 × 403,620,546,717.57
  4. Step 4: Simplify right side
    290,286,767,169x = 162,909,545,732,590,123,614,208
  5. Step 5: Solve for x
    x = 162,909,545,732,590,123,614,208/290,286,767,169
  6. Step 6: Final answer
    x = 561,202,108,250.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.