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Finding the Third Proportional to 104,853,052 and 229,861,496

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Solution

The third proportional to 104,853,052 and 229,861,496 is: 503,908,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,853,052 : 229,861,496 = 229,861,496 : x
  2. Step 2: Convert to fraction form
    104,853,052/229,861,496 = 229,861,496/x
  3. Step 3: Cross multiply
    104,853,052x = 229,861,496 × 229,861,496
  4. Step 4: Simplify right side
    104,853,052x = 52,836,307,343,358,016
  5. Step 5: Solve for x
    x = 52,836,307,343,358,016/104,853,052
  6. Step 6: Final answer
    x = 503,908,148.93

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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.