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Finding the Third Proportional to 67,084,285.50 and 141,903,301.50

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Solution

The third proportional to 67,084,285.50 and 141,903,301.50 is: 300,167,868.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,084,285.50 : 141,903,301.50 = 141,903,301.50 : x
  2. Step 2: Convert to fraction form
    67,084,285.50/141,903,301.50 = 141,903,301.50/x
  3. Step 3: Cross multiply
    67,084,285.50x = 141,903,301.50 × 141,903,301.50
  4. Step 4: Simplify right side
    67,084,285.50x = 20,136,546,976,599,904
  5. Step 5: Solve for x
    x = 20,136,546,976,599,904/67,084,285.50
  6. Step 6: Final answer
    x = 300,167,868.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.