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Finding the Third Proportional to 97,149.84 and 210,099.94

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Solution

The third proportional to 97,149.84 and 210,099.94 is: 454,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,149.84 : 210,099.94 = 210,099.94 : x
  2. Step 2: Convert to fraction form
    97,149.84/210,099.94 = 210,099.94/x
  3. Step 3: Cross multiply
    97,149.84x = 210,099.94 × 210,099.94
  4. Step 4: Simplify right side
    97,149.84x = 44,141,983,737.50
  5. Step 5: Solve for x
    x = 44,141,983,737.50/97,149.84
  6. Step 6: Final answer
    x = 454,370.10

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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.