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Finding the Third Proportional to 125,321,616 and 182,528,856

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Solution

The third proportional to 125,321,616 and 182,528,856 is: 265,850,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,321,616 : 182,528,856 = 182,528,856 : x
  2. Step 2: Convert to fraction form
    125,321,616/182,528,856 = 182,528,856/x
  3. Step 3: Cross multiply
    125,321,616x = 182,528,856 × 182,528,856
  4. Step 4: Simplify right side
    125,321,616x = 33,316,783,272,668,736
  5. Step 5: Solve for x
    x = 33,316,783,272,668,736/125,321,616
  6. Step 6: Final answer
    x = 265,850,252.62

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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.