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Finding the Third Proportional to 96,439,258 and 211,607,658

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Solution

The third proportional to 96,439,258 and 211,607,658 is: 464,310,923.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,439,258 : 211,607,658 = 211,607,658 : x
  2. Step 2: Convert to fraction form
    96,439,258/211,607,658 = 211,607,658/x
  3. Step 3: Cross multiply
    96,439,258x = 211,607,658 × 211,607,658
  4. Step 4: Simplify right side
    96,439,258x = 44,777,800,924,244,960
  5. Step 5: Solve for x
    x = 44,777,800,924,244,960/96,439,258
  6. Step 6: Final answer
    x = 464,310,923.30

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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.