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Finding the Third Proportional to 188,868,712.50 and 406,435,235.20

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Solution

The third proportional to 188,868,712.50 and 406,435,235.20 is: 874,626,602.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,868,712.50 : 406,435,235.20 = 406,435,235.20 : x
  2. Step 2: Convert to fraction form
    188,868,712.50/406,435,235.20 = 406,435,235.20/x
  3. Step 3: Cross multiply
    188,868,712.50x = 406,435,235.20 × 406,435,235.20
  4. Step 4: Simplify right side
    188,868,712.50x = 165,189,600,414,615,456
  5. Step 5: Solve for x
    x = 165,189,600,414,615,456/188,868,712.50
  6. Step 6: Final answer
    x = 874,626,602.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.