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Finding the Third Proportional to 86,665,514 and 176,357,756

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Solution

The third proportional to 86,665,514 and 176,357,756 is: 358,874,674.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,665,514 : 176,357,756 = 176,357,756 : x
  2. Step 2: Convert to fraction form
    86,665,514/176,357,756 = 176,357,756/x
  3. Step 3: Cross multiply
    86,665,514x = 176,357,756 × 176,357,756
  4. Step 4: Simplify right side
    86,665,514x = 31,102,058,101,355,536
  5. Step 5: Solve for x
    x = 31,102,058,101,355,536/86,665,514
  6. Step 6: Final answer
    x = 358,874,674.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.