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Finding the Third Proportional to 78,093,027.50 and 114,264,872

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Solution

The third proportional to 78,093,027.50 and 114,264,872 is: 167,191,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093,027.50 : 114,264,872 = 114,264,872 : x
  2. Step 2: Convert to fraction form
    78,093,027.50/114,264,872 = 114,264,872/x
  3. Step 3: Cross multiply
    78,093,027.50x = 114,264,872 × 114,264,872
  4. Step 4: Simplify right side
    78,093,027.50x = 13,056,460,973,176,384
  5. Step 5: Solve for x
    x = 13,056,460,973,176,384/78,093,027.50
  6. Step 6: Final answer
    x = 167,191,123.09

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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.