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Finding the Third Proportional to 317,088,186 and 696,532,116

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Solution

The third proportional to 317,088,186 and 696,532,116 is: 1,530,038,046.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,088,186 : 696,532,116 = 696,532,116 : x
  2. Step 2: Convert to fraction form
    317,088,186/696,532,116 = 696,532,116/x
  3. Step 3: Cross multiply
    317,088,186x = 696,532,116 × 696,532,116
  4. Step 4: Simplify right side
    317,088,186x = 485,156,988,619,437,440
  5. Step 5: Solve for x
    x = 485,156,988,619,437,440/317,088,186
  6. Step 6: Final answer
    x = 1,530,038,046.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.