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Finding the Third Proportional to 76,565,286 and 117,686,385

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Solution

The third proportional to 76,565,286 and 117,686,385 is: 180,892,489.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,286 : 117,686,385 = 117,686,385 : x
  2. Step 2: Convert to fraction form
    76,565,286/117,686,385 = 117,686,385/x
  3. Step 3: Cross multiply
    76,565,286x = 117,686,385 × 117,686,385
  4. Step 4: Simplify right side
    76,565,286x = 13,850,085,214,368,224
  5. Step 5: Solve for x
    x = 13,850,085,214,368,224/76,565,286
  6. Step 6: Final answer
    x = 180,892,489.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.