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Finding the Third Proportional to 117,823,029.50 and 247,856,080.50

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Solution

The third proportional to 117,823,029.50 and 247,856,080.50 is: 521,397,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,823,029.50 : 247,856,080.50 = 247,856,080.50 : x
  2. Step 2: Convert to fraction form
    117,823,029.50/247,856,080.50 = 247,856,080.50/x
  3. Step 3: Cross multiply
    117,823,029.50x = 247,856,080.50 × 247,856,080.50
  4. Step 4: Simplify right side
    117,823,029.50x = 61,432,636,640,822,480
  5. Step 5: Solve for x
    x = 61,432,636,640,822,480/117,823,029.50
  6. Step 6: Final answer
    x = 521,397,530.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.