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Finding the Third Proportional to 124,620,256.50 and 271,184,596.50

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Solution

The third proportional to 124,620,256.50 and 271,184,596.50 is: 590,121,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,620,256.50 : 271,184,596.50 = 271,184,596.50 : x
  2. Step 2: Convert to fraction form
    124,620,256.50/271,184,596.50 = 271,184,596.50/x
  3. Step 3: Cross multiply
    124,620,256.50x = 271,184,596.50 × 271,184,596.50
  4. Step 4: Simplify right side
    124,620,256.50x = 73,541,085,378,867,808
  5. Step 5: Solve for x
    x = 73,541,085,378,867,808/124,620,256.50
  6. Step 6: Final answer
    x = 590,121,441.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.