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Finding the Third Proportional to 80,167,209 and 123,932,270.81

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Solution

The third proportional to 80,167,209 and 123,932,270.81 is: 191,589,652.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,167,209 : 123,932,270.81 = 123,932,270.81 : x
  2. Step 2: Convert to fraction form
    80,167,209/123,932,270.81 = 123,932,270.81/x
  3. Step 3: Cross multiply
    80,167,209x = 123,932,270.81 × 123,932,270.81
  4. Step 4: Simplify right side
    80,167,209x = 15,359,207,748,742,840
  5. Step 5: Solve for x
    x = 15,359,207,748,742,840/80,167,209
  6. Step 6: Final answer
    x = 191,589,652.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.