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Finding the Third Proportional to 180,314,856 and 285,752,376

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Solution

The third proportional to 180,314,856 and 285,752,376 is: 452,843,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,314,856 : 285,752,376 = 285,752,376 : x
  2. Step 2: Convert to fraction form
    180,314,856/285,752,376 = 285,752,376/x
  3. Step 3: Cross multiply
    180,314,856x = 285,752,376 × 285,752,376
  4. Step 4: Simplify right side
    180,314,856x = 81,654,420,389,645,376
  5. Step 5: Solve for x
    x = 81,654,420,389,645,376/180,314,856
  6. Step 6: Final answer
    x = 452,843,554.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.