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Finding the Third Proportional to 229,696,513 and 353,060,146

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Solution

The third proportional to 229,696,513 and 353,060,146 is: 542,678,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,696,513 : 353,060,146 = 353,060,146 : x
  2. Step 2: Convert to fraction form
    229,696,513/353,060,146 = 353,060,146/x
  3. Step 3: Cross multiply
    229,696,513x = 353,060,146 × 353,060,146
  4. Step 4: Simplify right side
    229,696,513x = 124,651,466,693,541,312
  5. Step 5: Solve for x
    x = 124,651,466,693,541,312/229,696,513
  6. Step 6: Final answer
    x = 542,678,968.29

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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.