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Finding the Third Proportional to 65,125,083 and 97,832,171

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Solution

The third proportional to 65,125,083 and 97,832,171 is: 146,965,397.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125,083 : 97,832,171 = 97,832,171 : x
  2. Step 2: Convert to fraction form
    65,125,083/97,832,171 = 97,832,171/x
  3. Step 3: Cross multiply
    65,125,083x = 97,832,171 × 97,832,171
  4. Step 4: Simplify right side
    65,125,083x = 9,571,133,682,573,240
  5. Step 5: Solve for x
    x = 9,571,133,682,573,240/65,125,083
  6. Step 6: Final answer
    x = 146,965,397.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.