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Finding the Third Proportional to 100,146,053 and 213,520,176

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Solution

The third proportional to 100,146,053 and 213,520,176 is: 455,243,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,146,053 : 213,520,176 = 213,520,176 : x
  2. Step 2: Convert to fraction form
    100,146,053/213,520,176 = 213,520,176/x
  3. Step 3: Cross multiply
    100,146,053x = 213,520,176 × 213,520,176
  4. Step 4: Simplify right side
    100,146,053x = 45,590,865,559,070,976
  5. Step 5: Solve for x
    x = 45,590,865,559,070,976/100,146,053
  6. Step 6: Final answer
    x = 455,243,758.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.