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Finding the Third Proportional to 122,870,502 and 263,975,592.38

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Solution

The third proportional to 122,870,502 and 263,975,592.38 is: 567,126,464.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,870,502 : 263,975,592.38 = 263,975,592.38 : x
  2. Step 2: Convert to fraction form
    122,870,502/263,975,592.38 = 263,975,592.38/x
  3. Step 3: Cross multiply
    122,870,502x = 263,975,592.38 × 263,975,592.38
  4. Step 4: Simplify right side
    122,870,502x = 69,683,113,369,732,160
  5. Step 5: Solve for x
    x = 69,683,113,369,732,160/122,870,502
  6. Step 6: Final answer
    x = 567,126,464.33

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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.