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Finding the Third Proportional to 215,346,238 and 469,671,376

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Solution

The third proportional to 215,346,238 and 469,671,376 is: 1,024,355,955.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,346,238 : 469,671,376 = 469,671,376 : x
  2. Step 2: Convert to fraction form
    215,346,238/469,671,376 = 469,671,376/x
  3. Step 3: Cross multiply
    215,346,238x = 469,671,376 × 469,671,376
  4. Step 4: Simplify right side
    215,346,238x = 220,591,201,433,733,376
  5. Step 5: Solve for x
    x = 220,591,201,433,733,376/215,346,238
  6. Step 6: Final answer
    x = 1,024,355,955.70

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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.