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Finding the Third Proportional to 125,136,921 and 183,225,663

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Solution

The third proportional to 125,136,921 and 183,225,663 is: 268,279,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,136,921 : 183,225,663 = 183,225,663 : x
  2. Step 2: Convert to fraction form
    125,136,921/183,225,663 = 183,225,663/x
  3. Step 3: Cross multiply
    125,136,921x = 183,225,663 × 183,225,663
  4. Step 4: Simplify right side
    125,136,921x = 33,571,643,581,789,568
  5. Step 5: Solve for x
    x = 33,571,643,581,789,568/125,136,921
  6. Step 6: Final answer
    x = 268,279,284.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.