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Finding the Third Proportional to 224,362,085.63 and 344,647,634.06

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Solution

The third proportional to 224,362,085.63 and 344,647,634.06 is: 529,420,964.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,362,085.63 : 344,647,634.06 = 344,647,634.06 : x
  2. Step 2: Convert to fraction form
    224,362,085.63/344,647,634.06 = 344,647,634.06/x
  3. Step 3: Cross multiply
    224,362,085.63x = 344,647,634.06 × 344,647,634.06
  4. Step 4: Simplify right side
    224,362,085.63x = 118,781,991,664,878,912
  5. Step 5: Solve for x
    x = 118,781,991,664,878,912/224,362,085.63
  6. Step 6: Final answer
    x = 529,420,964.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.