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Finding the Third Proportional to 86,236,281 and 187,026,907.50

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Solution

The third proportional to 86,236,281 and 187,026,907.50 is: 405,618,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,236,281 : 187,026,907.50 = 187,026,907.50 : x
  2. Step 2: Convert to fraction form
    86,236,281/187,026,907.50 = 187,026,907.50/x
  3. Step 3: Cross multiply
    86,236,281x = 187,026,907.50 × 187,026,907.50
  4. Step 4: Simplify right side
    86,236,281x = 34,979,064,129,013,556
  5. Step 5: Solve for x
    x = 34,979,064,129,013,556/86,236,281
  6. Step 6: Final answer
    x = 405,618,884.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.