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Finding the Third Proportional to 97,152 and 229,008

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Solution

The third proportional to 97,152 and 229,008 is: 539,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,152 : 229,008 = 229,008 : x
  2. Step 2: Convert to fraction form
    97,152/229,008 = 229,008/x
  3. Step 3: Cross multiply
    97,152x = 229,008 × 229,008
  4. Step 4: Simplify right side
    97,152x = 52,444,664,064
  5. Step 5: Solve for x
    x = 52,444,664,064/97,152
  6. Step 6: Final answer
    x = 539,820.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.