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Finding the Third Proportional to 102,632,644.13 and 212,541,079.13

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Solution

The third proportional to 102,632,644.13 and 212,541,079.13 is: 440,149,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,632,644.13 : 212,541,079.13 = 212,541,079.13 : x
  2. Step 2: Convert to fraction form
    102,632,644.13/212,541,079.13 = 212,541,079.13/x
  3. Step 3: Cross multiply
    102,632,644.13x = 212,541,079.13 × 212,541,079.13
  4. Step 4: Simplify right side
    102,632,644.13x = 45,173,710,315,619,512
  5. Step 5: Solve for x
    x = 45,173,710,315,619,512/102,632,644.13
  6. Step 6: Final answer
    x = 440,149,532.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.