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Finding the Third Proportional to 46,307,411.44 and 100,685,775.38

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Solution

The third proportional to 46,307,411.44 and 100,685,775.38 is: 218,920,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,307,411.44 : 100,685,775.38 = 100,685,775.38 : x
  2. Step 2: Convert to fraction form
    46,307,411.44/100,685,775.38 = 100,685,775.38/x
  3. Step 3: Cross multiply
    46,307,411.44x = 100,685,775.38 × 100,685,775.38
  4. Step 4: Simplify right side
    46,307,411.44x = 10,137,625,362,864,956
  5. Step 5: Solve for x
    x = 10,137,625,362,864,956/46,307,411.44
  6. Step 6: Final answer
    x = 218,920,147.95

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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.