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Finding the Third Proportional to 112,703,217 and 172,406,706

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Solution

The third proportional to 112,703,217 and 172,406,706 is: 263,737,567.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,703,217 : 172,406,706 = 172,406,706 : x
  2. Step 2: Convert to fraction form
    112,703,217/172,406,706 = 172,406,706/x
  3. Step 3: Cross multiply
    112,703,217x = 172,406,706 × 172,406,706
  4. Step 4: Simplify right side
    112,703,217x = 29,724,072,273,770,436
  5. Step 5: Solve for x
    x = 29,724,072,273,770,436/112,703,217
  6. Step 6: Final answer
    x = 263,737,567.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.