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Finding the Third Proportional to 97,356.38 and 210,282.13

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Solution

The third proportional to 97,356.38 and 210,282.13 is: 454,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,356.38 : 210,282.13 = 210,282.13 : x
  2. Step 2: Convert to fraction form
    97,356.38/210,282.13 = 210,282.13/x
  3. Step 3: Cross multiply
    97,356.38x = 210,282.13 × 210,282.13
  4. Step 4: Simplify right side
    97,356.38x = 44,218,572,094.52
  5. Step 5: Solve for x
    x = 44,218,572,094.52/97,356.38
  6. Step 6: Final answer
    x = 454,192.88

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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.