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Finding the Third Proportional to 125,321,580 and 182,528,802

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Solution

The third proportional to 125,321,580 and 182,528,802 is: 265,850,171.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,321,580 : 182,528,802 = 182,528,802 : x
  2. Step 2: Convert to fraction form
    125,321,580/182,528,802 = 182,528,802/x
  3. Step 3: Cross multiply
    125,321,580x = 182,528,802 × 182,528,802
  4. Step 4: Simplify right side
    125,321,580x = 33,316,763,559,555,204
  5. Step 5: Solve for x
    x = 33,316,763,559,555,204/125,321,580
  6. Step 6: Final answer
    x = 265,850,171.69

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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.