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Finding the Third Proportional to 109,481,656.50 and 153,061,800.75

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Solution

The third proportional to 109,481,656.50 and 153,061,800.75 is: 213,989,407.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,481,656.50 : 153,061,800.75 = 153,061,800.75 : x
  2. Step 2: Convert to fraction form
    109,481,656.50/153,061,800.75 = 153,061,800.75/x
  3. Step 3: Cross multiply
    109,481,656.50x = 153,061,800.75 × 153,061,800.75
  4. Step 4: Simplify right side
    109,481,656.50x = 23,427,914,848,832,700
  5. Step 5: Solve for x
    x = 23,427,914,848,832,700/109,481,656.50
  6. Step 6: Final answer
    x = 213,989,407.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.