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Finding the Third Proportional to 123,592,464.25 and 168,311,840.50

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Solution

The third proportional to 123,592,464.25 and 168,311,840.50 is: 229,211,997.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,592,464.25 : 168,311,840.50 = 168,311,840.50 : x
  2. Step 2: Convert to fraction form
    123,592,464.25/168,311,840.50 = 168,311,840.50/x
  3. Step 3: Cross multiply
    123,592,464.25x = 168,311,840.50 × 168,311,840.50
  4. Step 4: Simplify right side
    123,592,464.25x = 28,328,875,652,497,440
  5. Step 5: Solve for x
    x = 28,328,875,652,497,440/123,592,464.25
  6. Step 6: Final answer
    x = 229,211,997.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.