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Finding the Third Proportional to 65,735,676.75 and 102,191,788.13

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Solution

The third proportional to 65,735,676.75 and 102,191,788.13 is: 158,865,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,735,676.75 : 102,191,788.13 = 102,191,788.13 : x
  2. Step 2: Convert to fraction form
    65,735,676.75/102,191,788.13 = 102,191,788.13/x
  3. Step 3: Cross multiply
    65,735,676.75x = 102,191,788.13 × 102,191,788.13
  4. Step 4: Simplify right side
    65,735,676.75x = 10,443,161,560,184,892
  5. Step 5: Solve for x
    x = 10,443,161,560,184,892/65,735,676.75
  6. Step 6: Final answer
    x = 158,865,962.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.