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Finding the Third Proportional to 229,696,398 and 353,059,974

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Solution

The third proportional to 229,696,398 and 353,059,974 is: 542,678,711.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,696,398 : 353,059,974 = 353,059,974 : x
  2. Step 2: Convert to fraction form
    229,696,398/353,059,974 = 353,059,974/x
  3. Step 3: Cross multiply
    229,696,398x = 353,059,974 × 353,059,974
  4. Step 4: Simplify right side
    229,696,398x = 124,651,345,240,880,672
  5. Step 5: Solve for x
    x = 124,651,345,240,880,672/229,696,398
  6. Step 6: Final answer
    x = 542,678,711.23

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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.