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Finding the Third Proportional to 209,746,624.50 and 317,534,964.75

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Solution

The third proportional to 209,746,624.50 and 317,534,964.75 is: 480,715,501.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,746,624.50 : 317,534,964.75 = 317,534,964.75 : x
  2. Step 2: Convert to fraction form
    209,746,624.50/317,534,964.75 = 317,534,964.75/x
  3. Step 3: Cross multiply
    209,746,624.50x = 317,534,964.75 × 317,534,964.75
  4. Step 4: Simplify right side
    209,746,624.50x = 100,828,453,838,783,744
  5. Step 5: Solve for x
    x = 100,828,453,838,783,744/209,746,624.50
  6. Step 6: Final answer
    x = 480,715,501.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.