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Finding the Third Proportional to 122,943,138.19 and 200,733,827.06

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Solution

The third proportional to 122,943,138.19 and 200,733,827.06 is: 327,745,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,943,138.19 : 200,733,827.06 = 200,733,827.06 : x
  2. Step 2: Convert to fraction form
    122,943,138.19/200,733,827.06 = 200,733,827.06/x
  3. Step 3: Cross multiply
    122,943,138.19x = 200,733,827.06 × 200,733,827.06
  4. Step 4: Simplify right side
    122,943,138.19x = 40,294,069,327,157,656
  5. Step 5: Solve for x
    x = 40,294,069,327,157,656/122,943,138.19
  6. Step 6: Final answer
    x = 327,745,573.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.