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Finding the Third Proportional to 95,413,416 and 209,571,072

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Solution

The third proportional to 95,413,416 and 209,571,072 is: 460,312,983.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,413,416 : 209,571,072 = 209,571,072 : x
  2. Step 2: Convert to fraction form
    95,413,416/209,571,072 = 209,571,072/x
  3. Step 3: Cross multiply
    95,413,416x = 209,571,072 × 209,571,072
  4. Step 4: Simplify right side
    95,413,416x = 43,920,034,219,229,184
  5. Step 5: Solve for x
    x = 43,920,034,219,229,184/95,413,416
  6. Step 6: Final answer
    x = 460,312,983.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.