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Finding the Third Proportional to 209,760,095 and 317,551,769

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Solution

The third proportional to 209,760,095 and 317,551,769 is: 480,735,508.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760,095 : 317,551,769 = 317,551,769 : x
  2. Step 2: Convert to fraction form
    209,760,095/317,551,769 = 317,551,769/x
  3. Step 3: Cross multiply
    209,760,095x = 317,551,769 × 317,551,769
  4. Step 4: Simplify right side
    209,760,095x = 100,839,125,995,029,360
  5. Step 5: Solve for x
    x = 100,839,125,995,029,360/209,760,095
  6. Step 6: Final answer
    x = 480,735,508.80

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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.