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Finding the Third Proportional to 215,346,238.50 and 469,671,378

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Solution

The third proportional to 215,346,238.50 and 469,671,378 is: 1,024,355,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,346,238.50 : 469,671,378 = 469,671,378 : x
  2. Step 2: Convert to fraction form
    215,346,238.50/469,671,378 = 469,671,378/x
  3. Step 3: Cross multiply
    215,346,238.50x = 469,671,378 × 469,671,378
  4. Step 4: Simplify right side
    215,346,238.50x = 220,591,203,312,418,880
  5. Step 5: Solve for x
    x = 220,591,203,312,418,880/215,346,238.50
  6. Step 6: Final answer
    x = 1,024,355,962.05

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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.