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Finding the Third Proportional to 146,235,721.50 and 321,164,869.50

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Solution

The third proportional to 146,235,721.50 and 321,164,869.50 is: 705,346,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,235,721.50 : 321,164,869.50 = 321,164,869.50 : x
  2. Step 2: Convert to fraction form
    146,235,721.50/321,164,869.50 = 321,164,869.50/x
  3. Step 3: Cross multiply
    146,235,721.50x = 321,164,869.50 × 321,164,869.50
  4. Step 4: Simplify right side
    146,235,721.50x = 103,146,873,400,952,032
  5. Step 5: Solve for x
    x = 103,146,873,400,952,032/146,235,721.50
  6. Step 6: Final answer
    x = 705,346,630.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.