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Finding the Third Proportional to 68,304,440,540 and 102,054,890,594

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Solution

The third proportional to 68,304,440,540 and 102,054,890,594 is: 152,482,043,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,304,440,540 : 102,054,890,594 = 102,054,890,594 : x
  2. Step 2: Convert to fraction form
    68,304,440,540/102,054,890,594 = 102,054,890,594/x
  3. Step 3: Cross multiply
    68,304,440,540x = 102,054,890,594 × 102,054,890,594
  4. Step 4: Simplify right side
    68,304,440,540x = 10,415,200,694,153,309,585,408
  5. Step 5: Solve for x
    x = 10,415,200,694,153,309,585,408/68,304,440,540
  6. Step 6: Final answer
    x = 152,482,043,799.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.