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Finding the Third Proportional to 142,197,700 and 212,366,406

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Solution

The third proportional to 142,197,700 and 212,366,406 is: 317,160,477.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,197,700 : 212,366,406 = 212,366,406 : x
  2. Step 2: Convert to fraction form
    142,197,700/212,366,406 = 212,366,406/x
  3. Step 3: Cross multiply
    142,197,700x = 212,366,406 × 212,366,406
  4. Step 4: Simplify right side
    142,197,700x = 45,099,490,397,356,832
  5. Step 5: Solve for x
    x = 45,099,490,397,356,832/142,197,700
  6. Step 6: Final answer
    x = 317,160,477.26

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