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Finding the Third Proportional to 106,397,574 and 229,208,503

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Solution

The third proportional to 106,397,574 and 229,208,503 is: 493,775,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,397,574 : 229,208,503 = 229,208,503 : x
  2. Step 2: Convert to fraction form
    106,397,574/229,208,503 = 229,208,503/x
  3. Step 3: Cross multiply
    106,397,574x = 229,208,503 × 229,208,503
  4. Step 4: Simplify right side
    106,397,574x = 52,536,537,847,501,008
  5. Step 5: Solve for x
    x = 52,536,537,847,501,008/106,397,574
  6. Step 6: Final answer
    x = 493,775,711.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.