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Finding the Third Proportional to 73,463,856.75 and 106,197,475.50

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Solution

The third proportional to 73,463,856.75 and 106,197,475.50 is: 153,516,358.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,463,856.75 : 106,197,475.50 = 106,197,475.50 : x
  2. Step 2: Convert to fraction form
    73,463,856.75/106,197,475.50 = 106,197,475.50/x
  3. Step 3: Cross multiply
    73,463,856.75x = 106,197,475.50 × 106,197,475.50
  4. Step 4: Simplify right side
    73,463,856.75x = 11,277,903,802,573,100
  5. Step 5: Solve for x
    x = 11,277,903,802,573,100/73,463,856.75
  6. Step 6: Final answer
    x = 153,516,358.95

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.