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Finding the Third Proportional to 95,365,106 and 205,975,784

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Solution

The third proportional to 95,365,106 and 205,975,784 is: 444,879,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,365,106 : 205,975,784 = 205,975,784 : x
  2. Step 2: Convert to fraction form
    95,365,106/205,975,784 = 205,975,784/x
  3. Step 3: Cross multiply
    95,365,106x = 205,975,784 × 205,975,784
  4. Step 4: Simplify right side
    95,365,106x = 42,426,023,594,414,656
  5. Step 5: Solve for x
    x = 42,426,023,594,414,656/95,365,106
  6. Step 6: Final answer
    x = 444,879,950.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.