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Finding the Third Proportional to 214,545,070 and 463,082,682

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Solution

The third proportional to 214,545,070 and 463,082,682 is: 999,536,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,545,070 : 463,082,682 = 463,082,682 : x
  2. Step 2: Convert to fraction form
    214,545,070/463,082,682 = 463,082,682/x
  3. Step 3: Cross multiply
    214,545,070x = 463,082,682 × 463,082,682
  4. Step 4: Simplify right side
    214,545,070x = 214,445,570,368,313,120
  5. Step 5: Solve for x
    x = 214,445,570,368,313,120/214,545,070
  6. Step 6: Final answer
    x = 999,536,229.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.