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Finding the Third Proportional to 96,911,491 and 212,652,846

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Solution

The third proportional to 96,911,491 and 212,652,846 is: 466,624,055.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,911,491 : 212,652,846 = 212,652,846 : x
  2. Step 2: Convert to fraction form
    96,911,491/212,652,846 = 212,652,846/x
  3. Step 3: Cross multiply
    96,911,491x = 212,652,846 × 212,652,846
  4. Step 4: Simplify right side
    96,911,491x = 45,221,232,911,899,712
  5. Step 5: Solve for x
    x = 45,221,232,911,899,712/96,911,491
  6. Step 6: Final answer
    x = 466,624,055.06

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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.