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Finding the Third Proportional to 199,070,500 and 284,671,158

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Solution

The third proportional to 199,070,500 and 284,671,158 is: 407,080,246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,070,500 : 284,671,158 = 284,671,158 : x
  2. Step 2: Convert to fraction form
    199,070,500/284,671,158 = 284,671,158/x
  3. Step 3: Cross multiply
    199,070,500x = 284,671,158 × 284,671,158
  4. Step 4: Simplify right side
    199,070,500x = 81,037,668,197,060,960
  5. Step 5: Solve for x
    x = 81,037,668,197,060,960/199,070,500
  6. Step 6: Final answer
    x = 407,080,246.43

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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.