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Finding the Third Proportional to 76,857,657 and 165,962,226

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Solution

The third proportional to 76,857,657 and 165,962,226 is: 358,369,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857,657 : 165,962,226 = 165,962,226 : x
  2. Step 2: Convert to fraction form
    76,857,657/165,962,226 = 165,962,226/x
  3. Step 3: Cross multiply
    76,857,657x = 165,962,226 × 165,962,226
  4. Step 4: Simplify right side
    76,857,657x = 27,543,460,458,875,076
  5. Step 5: Solve for x
    x = 27,543,460,458,875,076/76,857,657
  6. Step 6: Final answer
    x = 358,369,764.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.