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Finding the Third Proportional to 98,443,862 and 214,601,452

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Solution

The third proportional to 98,443,862 and 214,601,452 is: 467,817,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,443,862 : 214,601,452 = 214,601,452 : x
  2. Step 2: Convert to fraction form
    98,443,862/214,601,452 = 214,601,452/x
  3. Step 3: Cross multiply
    98,443,862x = 214,601,452 × 214,601,452
  4. Step 4: Simplify right side
    98,443,862x = 46,053,783,200,508,304
  5. Step 5: Solve for x
    x = 46,053,783,200,508,304/98,443,862
  6. Step 6: Final answer
    x = 467,817,721.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.