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Finding the Third Proportional to 70,253,097.75 and 102,983,184.75

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Solution

The third proportional to 70,253,097.75 and 102,983,184.75 is: 150,961,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,253,097.75 : 102,983,184.75 = 102,983,184.75 : x
  2. Step 2: Convert to fraction form
    70,253,097.75/102,983,184.75 = 102,983,184.75/x
  3. Step 3: Cross multiply
    70,253,097.75x = 102,983,184.75 × 102,983,184.75
  4. Step 4: Simplify right side
    70,253,097.75x = 10,605,536,341,252,632
  5. Step 5: Solve for x
    x = 10,605,536,341,252,632/70,253,097.75
  6. Step 6: Final answer
    x = 150,961,832.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.