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Finding the Third Proportional to 96,995,780 and 210,135,964

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Solution

The third proportional to 96,995,780 and 210,135,964 is: 455,247,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,995,780 : 210,135,964 = 210,135,964 : x
  2. Step 2: Convert to fraction form
    96,995,780/210,135,964 = 210,135,964/x
  3. Step 3: Cross multiply
    96,995,780x = 210,135,964 × 210,135,964
  4. Step 4: Simplify right side
    96,995,780x = 44,157,123,366,209,296
  5. Step 5: Solve for x
    x = 44,157,123,366,209,296/96,995,780
  6. Step 6: Final answer
    x = 455,247,881.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.