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Finding the Third Proportional to 78,122,076 and 165,101,484

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Solution

The third proportional to 78,122,076 and 165,101,484 is: 348,921,859.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,122,076 : 165,101,484 = 165,101,484 : x
  2. Step 2: Convert to fraction form
    78,122,076/165,101,484 = 165,101,484/x
  3. Step 3: Cross multiply
    78,122,076x = 165,101,484 × 165,101,484
  4. Step 4: Simplify right side
    78,122,076x = 27,258,500,019,002,256
  5. Step 5: Solve for x
    x = 27,258,500,019,002,256/78,122,076
  6. Step 6: Final answer
    x = 348,921,859.41

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.