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Finding the Third Proportional to 283,701,168 and 615,827,254.50

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Solution

The third proportional to 283,701,168 and 615,827,254.50 is: 1,336,769,989.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,701,168 : 615,827,254.50 = 615,827,254.50 : x
  2. Step 2: Convert to fraction form
    283,701,168/615,827,254.50 = 615,827,254.50/x
  3. Step 3: Cross multiply
    283,701,168x = 615,827,254.50 × 615,827,254.50
  4. Step 4: Simplify right side
    283,701,168x = 379,243,207,385,007,744
  5. Step 5: Solve for x
    x = 379,243,207,385,007,744/283,701,168
  6. Step 6: Final answer
    x = 1,336,769,989.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.