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Finding the Third Proportional to 100,146,057 and 213,520,184

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Solution

The third proportional to 100,146,057 and 213,520,184 is: 455,243,774.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,146,057 : 213,520,184 = 213,520,184 : x
  2. Step 2: Convert to fraction form
    100,146,057/213,520,184 = 213,520,184/x
  3. Step 3: Cross multiply
    100,146,057x = 213,520,184 × 213,520,184
  4. Step 4: Simplify right side
    100,146,057x = 45,590,868,975,393,856
  5. Step 5: Solve for x
    x = 45,590,868,975,393,856/100,146,057
  6. Step 6: Final answer
    x = 455,243,774.35

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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.