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Finding the Third Proportional to 73,716,750 and 160,300,032.75

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Solution

The third proportional to 73,716,750 and 160,300,032.75 is: 348,578,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,716,750 : 160,300,032.75 = 160,300,032.75 : x
  2. Step 2: Convert to fraction form
    73,716,750/160,300,032.75 = 160,300,032.75/x
  3. Step 3: Cross multiply
    73,716,750x = 160,300,032.75 × 160,300,032.75
  4. Step 4: Simplify right side
    73,716,750x = 25,696,100,499,651,072
  5. Step 5: Solve for x
    x = 25,696,100,499,651,072/73,716,750
  6. Step 6: Final answer
    x = 348,578,857.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.