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Finding the Third Proportional to 96,911,494 and 212,652,852

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Solution

The third proportional to 96,911,494 and 212,652,852 is: 466,624,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,911,494 : 212,652,852 = 212,652,852 : x
  2. Step 2: Convert to fraction form
    96,911,494/212,652,852 = 212,652,852/x
  3. Step 3: Cross multiply
    96,911,494x = 212,652,852 × 212,652,852
  4. Step 4: Simplify right side
    96,911,494x = 45,221,235,463,733,904
  5. Step 5: Solve for x
    x = 45,221,235,463,733,904/96,911,494
  6. Step 6: Final answer
    x = 466,624,066.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.