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Finding the Third Proportional to 109,774,014 and 161,619,849

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Solution

The third proportional to 109,774,014 and 161,619,849 is: 237,952,267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,774,014 : 161,619,849 = 161,619,849 : x
  2. Step 2: Convert to fraction form
    109,774,014/161,619,849 = 161,619,849/x
  3. Step 3: Cross multiply
    109,774,014x = 161,619,849 × 161,619,849
  4. Step 4: Simplify right side
    109,774,014x = 26,120,975,590,782,800
  5. Step 5: Solve for x
    x = 26,120,975,590,782,800/109,774,014
  6. Step 6: Final answer
    x = 237,952,267.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.