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Finding the Third Proportional to 96,860,020 and 206,651,229

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Solution

The third proportional to 96,860,020 and 206,651,229 is: 440,891,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,860,020 : 206,651,229 = 206,651,229 : x
  2. Step 2: Convert to fraction form
    96,860,020/206,651,229 = 206,651,229/x
  3. Step 3: Cross multiply
    96,860,020x = 206,651,229 × 206,651,229
  4. Step 4: Simplify right side
    96,860,020x = 42,704,730,447,210,440
  5. Step 5: Solve for x
    x = 42,704,730,447,210,440/96,860,020
  6. Step 6: Final answer
    x = 440,891,199.97

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.