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Finding the Third Proportional to 224,369,684 and 335,660,284

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Solution

The third proportional to 224,369,684 and 335,660,284 is: 502,152,627.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,369,684 : 335,660,284 = 335,660,284 : x
  2. Step 2: Convert to fraction form
    224,369,684/335,660,284 = 335,660,284/x
  3. Step 3: Cross multiply
    224,369,684x = 335,660,284 × 335,660,284
  4. Step 4: Simplify right side
    224,369,684x = 112,667,826,254,960,656
  5. Step 5: Solve for x
    x = 112,667,826,254,960,656/224,369,684
  6. Step 6: Final answer
    x = 502,152,627.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.