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Finding the Third Proportional to 65,125,065 and 97,832,144

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Solution

The third proportional to 65,125,065 and 97,832,144 is: 146,965,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125,065 : 97,832,144 = 97,832,144 : x
  2. Step 2: Convert to fraction form
    65,125,065/97,832,144 = 97,832,144/x
  3. Step 3: Cross multiply
    65,125,065x = 97,832,144 × 97,832,144
  4. Step 4: Simplify right side
    65,125,065x = 9,571,128,399,636,736
  5. Step 5: Solve for x
    x = 9,571,128,399,636,736/65,125,065
  6. Step 6: Final answer
    x = 146,965,356.57

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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.