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Finding the Third Proportional to 105,793,002 and 163,406,009.25

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Solution

The third proportional to 105,793,002 and 163,406,009.25 is: 252,394,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793,002 : 163,406,009.25 = 163,406,009.25 : x
  2. Step 2: Convert to fraction form
    105,793,002/163,406,009.25 = 163,406,009.25/x
  3. Step 3: Cross multiply
    105,793,002x = 163,406,009.25 × 163,406,009.25
  4. Step 4: Simplify right side
    105,793,002x = 26,701,523,859,011,084
  5. Step 5: Solve for x
    x = 26,701,523,859,011,084/105,793,002
  6. Step 6: Final answer
    x = 252,394,046.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.