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Finding the Third Proportional to 97,045.13 and 154,315.69

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Solution

The third proportional to 97,045.13 and 154,315.69 is: 245,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,045.13 : 154,315.69 = 154,315.69 : x
  2. Step 2: Convert to fraction form
    97,045.13/154,315.69 = 154,315.69/x
  3. Step 3: Cross multiply
    97,045.13x = 154,315.69 × 154,315.69
  4. Step 4: Simplify right side
    97,045.13x = 23,813,331,408.60
  5. Step 5: Solve for x
    x = 23,813,331,408.60/97,045.13
  6. Step 6: Final answer
    x = 245,384.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.