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Finding the Third Proportional to 197,692,962 and 411,748,693.50

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Solution

The third proportional to 197,692,962 and 411,748,693.50 is: 857,577,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,692,962 : 411,748,693.50 = 411,748,693.50 : x
  2. Step 2: Convert to fraction form
    197,692,962/411,748,693.50 = 411,748,693.50/x
  3. Step 3: Cross multiply
    197,692,962x = 411,748,693.50 × 411,748,693.50
  4. Step 4: Simplify right side
    197,692,962x = 169,536,986,598,956,928
  5. Step 5: Solve for x
    x = 169,536,986,598,956,928/197,692,962
  6. Step 6: Final answer
    x = 857,577,249.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.