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Finding the Third Proportional to 97,888.50 and 157,393.13

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Solution

The third proportional to 97,888.50 and 157,393.13 is: 253,069.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,888.50 : 157,393.13 = 157,393.13 : x
  2. Step 2: Convert to fraction form
    97,888.50/157,393.13 = 157,393.13/x
  3. Step 3: Cross multiply
    97,888.50x = 157,393.13 × 157,393.13
  4. Step 4: Simplify right side
    97,888.50x = 24,772,595,797.27
  5. Step 5: Solve for x
    x = 24,772,595,797.27/97,888.50
  6. Step 6: Final answer
    x = 253,069.52

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.