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Finding the Third Proportional to 124,826,051 and 271,378,743.50

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Solution

The third proportional to 124,826,051 and 271,378,743.50 is: 589,992,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,826,051 : 271,378,743.50 = 271,378,743.50 : x
  2. Step 2: Convert to fraction form
    124,826,051/271,378,743.50 = 271,378,743.50/x
  3. Step 3: Cross multiply
    124,826,051x = 271,378,743.50 × 271,378,743.50
  4. Step 4: Simplify right side
    124,826,051x = 73,646,422,423,638,800
  5. Step 5: Solve for x
    x = 73,646,422,423,638,800/124,826,051
  6. Step 6: Final answer
    x = 589,992,408.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.