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Finding the Third Proportional to 44,900,678 and 96,986,380

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Solution

The third proportional to 44,900,678 and 96,986,380 is: 209,492,558.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,900,678 : 96,986,380 = 96,986,380 : x
  2. Step 2: Convert to fraction form
    44,900,678/96,986,380 = 96,986,380/x
  3. Step 3: Cross multiply
    44,900,678x = 96,986,380 × 96,986,380
  4. Step 4: Simplify right side
    44,900,678x = 9,406,357,905,504,400
  5. Step 5: Solve for x
    x = 9,406,357,905,504,400/44,900,678
  6. Step 6: Final answer
    x = 209,492,558.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.