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Finding the Third Proportional to 98,820 and 212,648.63

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Solution

The third proportional to 98,820 and 212,648.63 is: 457,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,820 : 212,648.63 = 212,648.63 : x
  2. Step 2: Convert to fraction form
    98,820/212,648.63 = 212,648.63/x
  3. Step 3: Cross multiply
    98,820x = 212,648.63 × 212,648.63
  4. Step 4: Simplify right side
    98,820x = 45,219,437,714.39
  5. Step 5: Solve for x
    x = 45,219,437,714.39/98,820
  6. Step 6: Final answer
    x = 457,593.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.