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Finding the Third Proportional to 229,696,416 and 353,060,001

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Solution

The third proportional to 229,696,416 and 353,060,001 is: 542,678,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,696,416 : 353,060,001 = 353,060,001 : x
  2. Step 2: Convert to fraction form
    229,696,416/353,060,001 = 353,060,001/x
  3. Step 3: Cross multiply
    229,696,416x = 353,060,001 × 353,060,001
  4. Step 4: Simplify right side
    229,696,416x = 124,651,364,306,120,000
  5. Step 5: Solve for x
    x = 124,651,364,306,120,000/229,696,416
  6. Step 6: Final answer
    x = 542,678,751.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.