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Finding the Third Proportional to 86,136,776 and 132,398,412

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Solution

The third proportional to 86,136,776 and 132,398,412 is: 203,505,869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,776 : 132,398,412 = 132,398,412 : x
  2. Step 2: Convert to fraction form
    86,136,776/132,398,412 = 132,398,412/x
  3. Step 3: Cross multiply
    86,136,776x = 132,398,412 × 132,398,412
  4. Step 4: Simplify right side
    86,136,776x = 17,529,339,500,121,744
  5. Step 5: Solve for x
    x = 17,529,339,500,121,744/86,136,776
  6. Step 6: Final answer
    x = 203,505,869.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.