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Finding the Third Proportional to 86,395,506 and 188,926,272

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Solution

The third proportional to 86,395,506 and 188,926,272 is: 413,136,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,395,506 : 188,926,272 = 188,926,272 : x
  2. Step 2: Convert to fraction form
    86,395,506/188,926,272 = 188,926,272/x
  3. Step 3: Cross multiply
    86,395,506x = 188,926,272 × 188,926,272
  4. Step 4: Simplify right side
    86,395,506x = 35,693,136,251,817,984
  5. Step 5: Solve for x
    x = 35,693,136,251,817,984/86,395,506
  6. Step 6: Final answer
    x = 413,136,491.75

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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.