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Finding the Third Proportional to 112,703,221 and 172,406,712

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Solution

The third proportional to 112,703,221 and 172,406,712 is: 263,737,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,703,221 : 172,406,712 = 172,406,712 : x
  2. Step 2: Convert to fraction form
    112,703,221/172,406,712 = 172,406,712/x
  3. Step 3: Cross multiply
    112,703,221x = 172,406,712 × 172,406,712
  4. Step 4: Simplify right side
    112,703,221x = 29,724,074,342,650,944
  5. Step 5: Solve for x
    x = 29,724,074,342,650,944/112,703,221
  6. Step 6: Final answer
    x = 263,737,576.25

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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.