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Finding the Third Proportional to 181,070,686 and 287,189,349

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Solution

The third proportional to 181,070,686 and 287,189,349 is: 455,500,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,070,686 : 287,189,349 = 287,189,349 : x
  2. Step 2: Convert to fraction form
    181,070,686/287,189,349 = 287,189,349/x
  3. Step 3: Cross multiply
    181,070,686x = 287,189,349 × 287,189,349
  4. Step 4: Simplify right side
    181,070,686x = 82,477,722,179,043,808
  5. Step 5: Solve for x
    x = 82,477,722,179,043,808/181,070,686
  6. Step 6: Final answer
    x = 455,500,136.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.