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Finding the Third Proportional to 97,000.88 and 141,734.81

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Solution

The third proportional to 97,000.88 and 141,734.81 is: 207,098.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,000.88 : 141,734.81 = 141,734.81 : x
  2. Step 2: Convert to fraction form
    97,000.88/141,734.81 = 141,734.81/x
  3. Step 3: Cross multiply
    97,000.88x = 141,734.81 × 141,734.81
  4. Step 4: Simplify right side
    97,000.88x = 20,088,757,074.41
  5. Step 5: Solve for x
    x = 20,088,757,074.41/97,000.88
  6. Step 6: Final answer
    x = 207,098.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.