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Finding the Third Proportional to 82,976,548 and 119,876,461

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Solution

The third proportional to 82,976,548 and 119,876,461 is: 173,185,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,976,548 : 119,876,461 = 119,876,461 : x
  2. Step 2: Convert to fraction form
    82,976,548/119,876,461 = 119,876,461/x
  3. Step 3: Cross multiply
    82,976,548x = 119,876,461 × 119,876,461
  4. Step 4: Simplify right side
    82,976,548x = 14,370,365,901,884,520
  5. Step 5: Solve for x
    x = 14,370,365,901,884,520/82,976,548
  6. Step 6: Final answer
    x = 173,185,872.98

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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.