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Finding the Third Proportional to 125,459,136 and 270,141,120

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Solution

The third proportional to 125,459,136 and 270,141,120 is: 581,673,260.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,459,136 : 270,141,120 = 270,141,120 : x
  2. Step 2: Convert to fraction form
    125,459,136/270,141,120 = 270,141,120/x
  3. Step 3: Cross multiply
    125,459,136x = 270,141,120 × 270,141,120
  4. Step 4: Simplify right side
    125,459,136x = 72,976,224,714,854,400
  5. Step 5: Solve for x
    x = 72,976,224,714,854,400/125,459,136
  6. Step 6: Final answer
    x = 581,673,260.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.