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Finding the Third Proportional to 229,696,426 and 353,060,016

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Solution

The third proportional to 229,696,426 and 353,060,016 is: 542,678,774.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,696,426 : 353,060,016 = 353,060,016 : x
  2. Step 2: Convert to fraction form
    229,696,426/353,060,016 = 353,060,016/x
  3. Step 3: Cross multiply
    229,696,426x = 353,060,016 × 353,060,016
  4. Step 4: Simplify right side
    229,696,426x = 124,651,374,897,920,256
  5. Step 5: Solve for x
    x = 124,651,374,897,920,256/229,696,426
  6. Step 6: Final answer
    x = 542,678,774.19

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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.