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Finding the Third Proportional to 69,835,508.25 and 164,621,683.50

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Solution

The third proportional to 69,835,508.25 and 164,621,683.50 is: 388,059,016.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,508.25 : 164,621,683.50 = 164,621,683.50 : x
  2. Step 2: Convert to fraction form
    69,835,508.25/164,621,683.50 = 164,621,683.50/x
  3. Step 3: Cross multiply
    69,835,508.25x = 164,621,683.50 × 164,621,683.50
  4. Step 4: Simplify right side
    69,835,508.25x = 27,100,298,678,374,172
  5. Step 5: Solve for x
    x = 27,100,298,678,374,172/69,835,508.25
  6. Step 6: Final answer
    x = 388,059,016.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.