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Finding the Third Proportional to 86,136,774 and 132,398,409

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Solution

The third proportional to 86,136,774 and 132,398,409 is: 203,505,865.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,136,774 : 132,398,409 = 132,398,409 : x
  2. Step 2: Convert to fraction form
    86,136,774/132,398,409 = 132,398,409/x
  3. Step 3: Cross multiply
    86,136,774x = 132,398,409 × 132,398,409
  4. Step 4: Simplify right side
    86,136,774x = 17,529,338,705,731,280
  5. Step 5: Solve for x
    x = 17,529,338,705,731,280/86,136,774
  6. Step 6: Final answer
    x = 203,505,865.05

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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.