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Finding the Third Proportional to 97,310 and 210,612

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Solution

The third proportional to 97,310 and 210,612 is: 455,836.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,310 : 210,612 = 210,612 : x
  2. Step 2: Convert to fraction form
    97,310/210,612 = 210,612/x
  3. Step 3: Cross multiply
    97,310x = 210,612 × 210,612
  4. Step 4: Simplify right side
    97,310x = 44,357,414,544
  5. Step 5: Solve for x
    x = 44,357,414,544/97,310
  6. Step 6: Final answer
    x = 455,836.14

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Why These Related Problems?

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