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Finding the Third Proportional to 87,774,580,156 and 192,318,262,748

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Solution

The third proportional to 87,774,580,156 and 192,318,262,748 is: 421,378,423,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,774,580,156 : 192,318,262,748 = 192,318,262,748 : x
  2. Step 2: Convert to fraction form
    87,774,580,156/192,318,262,748 = 192,318,262,748/x
  3. Step 3: Cross multiply
    87,774,580,156x = 192,318,262,748 × 192,318,262,748
  4. Step 4: Simplify right side
    87,774,580,156x = 36,986,314,186,408,763,326,464
  5. Step 5: Solve for x
    x = 36,986,314,186,408,763,326,464/87,774,580,156
  6. Step 6: Final answer
    x = 421,378,423,236.82

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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.