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Finding the Third Proportional to 76,565,798 and 117,687,120

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Solution

The third proportional to 76,565,798 and 117,687,120 is: 180,893,539.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,798 : 117,687,120 = 117,687,120 : x
  2. Step 2: Convert to fraction form
    76,565,798/117,687,120 = 117,687,120/x
  3. Step 3: Cross multiply
    76,565,798x = 117,687,120 × 117,687,120
  4. Step 4: Simplify right side
    76,565,798x = 13,850,258,213,894,400
  5. Step 5: Solve for x
    x = 13,850,258,213,894,400/76,565,798
  6. Step 6: Final answer
    x = 180,893,539.62

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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.