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Finding the Third Proportional to 51,699,968 and 108,748,288

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Solution

The third proportional to 51,699,968 and 108,748,288 is: 228,746,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,699,968 : 108,748,288 = 108,748,288 : x
  2. Step 2: Convert to fraction form
    51,699,968/108,748,288 = 108,748,288/x
  3. Step 3: Cross multiply
    51,699,968x = 108,748,288 × 108,748,288
  4. Step 4: Simplify right side
    51,699,968x = 11,826,190,142,930,944
  5. Step 5: Solve for x
    x = 11,826,190,142,930,944/51,699,968
  6. Step 6: Final answer
    x = 228,746,566.01

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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.