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Finding the Third Proportional to 170,602,880 and 368,390,144

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Solution

The third proportional to 170,602,880 and 368,390,144 is: 795,480,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,602,880 : 368,390,144 = 368,390,144 : x
  2. Step 2: Convert to fraction form
    170,602,880/368,390,144 = 368,390,144/x
  3. Step 3: Cross multiply
    170,602,880x = 368,390,144 × 368,390,144
  4. Step 4: Simplify right side
    170,602,880x = 135,711,298,196,340,736
  5. Step 5: Solve for x
    x = 135,711,298,196,340,736/170,602,880
  6. Step 6: Final answer
    x = 795,480,698.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.