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Finding the Third Proportional to 94,698,516,916.13 and 206,067,791,795.62

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Solution

The third proportional to 94,698,516,916.13 and 206,067,791,795.62 is: 448,411,825,215.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,698,516,916.13 : 206,067,791,795.62 = 206,067,791,795.62 : x
  2. Step 2: Convert to fraction form
    94,698,516,916.13/206,067,791,795.62 = 206,067,791,795.62/x
  3. Step 3: Cross multiply
    94,698,516,916.13x = 206,067,791,795.62 × 206,067,791,795.62
  4. Step 4: Simplify right side
    94,698,516,916.13x = 42,463,934,815,522,990,850,048
  5. Step 5: Solve for x
    x = 42,463,934,815,522,990,850,048/94,698,516,916.13
  6. Step 6: Final answer
    x = 448,411,825,215.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.