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Finding the Third Proportional to 197,267,040 and 314,165,520

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Solution

The third proportional to 197,267,040 and 314,165,520 is: 500,336,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,267,040 : 314,165,520 = 314,165,520 : x
  2. Step 2: Convert to fraction form
    197,267,040/314,165,520 = 314,165,520/x
  3. Step 3: Cross multiply
    197,267,040x = 314,165,520 × 314,165,520
  4. Step 4: Simplify right side
    197,267,040x = 98,699,973,956,870,400
  5. Step 5: Solve for x
    x = 98,699,973,956,870,400/197,267,040
  6. Step 6: Final answer
    x = 500,336,873.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.