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Finding the Third Proportional to 104,853,096 and 229,861,572

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Solution

The third proportional to 104,853,096 and 229,861,572 is: 503,908,270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,096 : 229,861,572 = 229,861,572 : x
  2. Step 2: Convert to fraction form
    104,853,096/229,861,572 = 229,861,572/x
  3. Step 3: Cross multiply
    104,853,096x = 229,861,572 × 229,861,572
  4. Step 4: Simplify right side
    104,853,096x = 52,836,342,282,311,184
  5. Step 5: Solve for x
    x = 52,836,342,282,311,184/104,853,096
  6. Step 6: Final answer
    x = 503,908,270.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.