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Finding the Third Proportional to 158,310,080 and 242,173,380

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Solution

The third proportional to 158,310,080 and 242,173,380 is: 370,462,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,310,080 : 242,173,380 = 242,173,380 : x
  2. Step 2: Convert to fraction form
    158,310,080/242,173,380 = 242,173,380/x
  3. Step 3: Cross multiply
    158,310,080x = 242,173,380 × 242,173,380
  4. Step 4: Simplify right side
    158,310,080x = 58,647,945,980,624,400
  5. Step 5: Solve for x
    x = 58,647,945,980,624,400/158,310,080
  6. Step 6: Final answer
    x = 370,462,487.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.