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Finding the Third Proportional to 199,070,516 and 284,671,182

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Solution

The third proportional to 199,070,516 and 284,671,182 is: 407,080,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,070,516 : 284,671,182 = 284,671,182 : x
  2. Step 2: Convert to fraction form
    199,070,516/284,671,182 = 284,671,182/x
  3. Step 3: Cross multiply
    199,070,516x = 284,671,182 × 284,671,182
  4. Step 4: Simplify right side
    199,070,516x = 81,037,681,861,277,120
  5. Step 5: Solve for x
    x = 81,037,681,861,277,120/199,070,516
  6. Step 6: Final answer
    x = 407,080,282.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.