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Finding the Third Proportional to 82,976,546 and 119,876,458.50

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Solution

The third proportional to 82,976,546 and 119,876,458.50 is: 173,185,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976,546 : 119,876,458.50 = 119,876,458.50 : x
  2. Step 2: Convert to fraction form
    82,976,546/119,876,458.50 = 119,876,458.50/x
  3. Step 3: Cross multiply
    82,976,546x = 119,876,458.50 × 119,876,458.50
  4. Step 4: Simplify right side
    82,976,546x = 14,370,365,302,502,222
  5. Step 5: Solve for x
    x = 14,370,365,302,502,222/82,976,546
  6. Step 6: Final answer
    x = 173,185,869.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.