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Finding the Third Proportional to 218,472,288 and 467,934,224

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Solution

The third proportional to 218,472,288 and 467,934,224 is: 1,002,243,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,472,288 : 467,934,224 = 467,934,224 : x
  2. Step 2: Convert to fraction form
    218,472,288/467,934,224 = 467,934,224/x
  3. Step 3: Cross multiply
    218,472,288x = 467,934,224 × 467,934,224
  4. Step 4: Simplify right side
    218,472,288x = 218,962,437,990,482,176
  5. Step 5: Solve for x
    x = 218,962,437,990,482,176/218,472,288
  6. Step 6: Final answer
    x = 1,002,243,533.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.