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Finding the Third Proportional to 142,197,704 and 212,366,412

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Solution

The third proportional to 142,197,704 and 212,366,412 is: 317,160,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,197,704 : 212,366,412 = 212,366,412 : x
  2. Step 2: Convert to fraction form
    142,197,704/212,366,412 = 212,366,412/x
  3. Step 3: Cross multiply
    142,197,704x = 212,366,412 × 212,366,412
  4. Step 4: Simplify right side
    142,197,704x = 45,099,492,945,753,744
  5. Step 5: Solve for x
    x = 45,099,492,945,753,744/142,197,704
  6. Step 6: Final answer
    x = 317,160,486.26

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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.