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Finding the Third Proportional to 108,211,134 and 227,051,089.50

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Solution

The third proportional to 108,211,134 and 227,051,089.50 is: 476,403,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,211,134 : 227,051,089.50 = 227,051,089.50 : x
  2. Step 2: Convert to fraction form
    108,211,134/227,051,089.50 = 227,051,089.50/x
  3. Step 3: Cross multiply
    108,211,134x = 227,051,089.50 × 227,051,089.50
  4. Step 4: Simplify right side
    108,211,134x = 51,552,197,243,137,008
  5. Step 5: Solve for x
    x = 51,552,197,243,137,008/108,211,134
  6. Step 6: Final answer
    x = 476,403,816.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.