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Finding the Third Proportional to 75,711,145.50 and 164,343,721.50

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Solution

The third proportional to 75,711,145.50 and 164,343,721.50 is: 356,735,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711,145.50 : 164,343,721.50 = 164,343,721.50 : x
  2. Step 2: Convert to fraction form
    75,711,145.50/164,343,721.50 = 164,343,721.50/x
  3. Step 3: Cross multiply
    75,711,145.50x = 164,343,721.50 × 164,343,721.50
  4. Step 4: Simplify right side
    75,711,145.50x = 27,008,858,796,469,564
  5. Step 5: Solve for x
    x = 27,008,858,796,469,564/75,711,145.50
  6. Step 6: Final answer
    x = 356,735,572.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.