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Finding the Third Proportional to 89,765,142.75 and 136,457,640

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Solution

The third proportional to 89,765,142.75 and 136,457,640 is: 207,437,842.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,765,142.75 : 136,457,640 = 136,457,640 : x
  2. Step 2: Convert to fraction form
    89,765,142.75/136,457,640 = 136,457,640/x
  3. Step 3: Cross multiply
    89,765,142.75x = 136,457,640 × 136,457,640
  4. Step 4: Simplify right side
    89,765,142.75x = 18,620,687,514,369,600
  5. Step 5: Solve for x
    x = 18,620,687,514,369,600/89,765,142.75
  6. Step 6: Final answer
    x = 207,437,842.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.