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Finding the Third Proportional to 73,176,628.50 and 144,502,568.25

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Solution

The third proportional to 73,176,628.50 and 144,502,568.25 is: 285,350,564.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,176,628.50 : 144,502,568.25 = 144,502,568.25 : x
  2. Step 2: Convert to fraction form
    73,176,628.50/144,502,568.25 = 144,502,568.25/x
  3. Step 3: Cross multiply
    73,176,628.50x = 144,502,568.25 × 144,502,568.25
  4. Step 4: Simplify right side
    73,176,628.50x = 20,880,992,230,845,908
  5. Step 5: Solve for x
    x = 20,880,992,230,845,908/73,176,628.50
  6. Step 6: Final answer
    x = 285,350,564.23

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.