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Finding the Third Proportional to 188,838,744.40 and 406,375,311.66

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Solution

The third proportional to 188,838,744.40 and 406,375,311.66 is: 874,507,477.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,838,744.40 : 406,375,311.66 = 406,375,311.66 : x
  2. Step 2: Convert to fraction form
    188,838,744.40/406,375,311.66 = 406,375,311.66/x
  3. Step 3: Cross multiply
    188,838,744.40x = 406,375,311.66 × 406,375,311.66
  4. Step 4: Simplify right side
    188,838,744.40x = 165,140,893,923,714,304
  5. Step 5: Solve for x
    x = 165,140,893,923,714,304/188,838,744.40
  6. Step 6: Final answer
    x = 874,507,477.00

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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.