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Finding the Third Proportional to 65,125,063 and 97,832,141

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Solution

The third proportional to 65,125,063 and 97,832,141 is: 146,965,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125,063 : 97,832,141 = 97,832,141 : x
  2. Step 2: Convert to fraction form
    65,125,063/97,832,141 = 97,832,141/x
  3. Step 3: Cross multiply
    65,125,063x = 97,832,141 × 97,832,141
  4. Step 4: Simplify right side
    65,125,063x = 9,571,127,812,643,880
  5. Step 5: Solve for x
    x = 9,571,127,812,643,880/65,125,063
  6. Step 6: Final answer
    x = 146,965,352.07

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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.