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Finding the Third Proportional to 188,017,762.78 and 412,356,214.13

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Solution

The third proportional to 188,017,762.78 and 412,356,214.13 is: 904,370,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,017,762.78 : 412,356,214.13 = 412,356,214.13 : x
  2. Step 2: Convert to fraction form
    188,017,762.78/412,356,214.13 = 412,356,214.13/x
  3. Step 3: Cross multiply
    188,017,762.78x = 412,356,214.13 × 412,356,214.13
  4. Step 4: Simplify right side
    188,017,762.78x = 170,037,647,327,502,848
  5. Step 5: Solve for x
    x = 170,037,647,327,502,848/188,017,762.78
  6. Step 6: Final answer
    x = 904,370,123.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.