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Finding the Third Proportional to 97,714.13 and 212,985

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Solution

The third proportional to 97,714.13 and 212,985 is: 464,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,714.13 : 212,985 = 212,985 : x
  2. Step 2: Convert to fraction form
    97,714.13/212,985 = 212,985/x
  3. Step 3: Cross multiply
    97,714.13x = 212,985 × 212,985
  4. Step 4: Simplify right side
    97,714.13x = 45,362,610,225
  5. Step 5: Solve for x
    x = 45,362,610,225/97,714.13
  6. Step 6: Final answer
    x = 464,238.00

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Why These Related Problems?

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