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Finding the Third Proportional to 96,744,656 and 210,494,768

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Solution

The third proportional to 96,744,656 and 210,494,768 is: 457,989,610.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,744,656 : 210,494,768 = 210,494,768 : x
  2. Step 2: Convert to fraction form
    96,744,656/210,494,768 = 210,494,768/x
  3. Step 3: Cross multiply
    96,744,656x = 210,494,768 × 210,494,768
  4. Step 4: Simplify right side
    96,744,656x = 44,308,047,355,373,824
  5. Step 5: Solve for x
    x = 44,308,047,355,373,824/96,744,656
  6. Step 6: Final answer
    x = 457,989,610.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.