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Finding the Third Proportional to 229,806,827 and 343,896,015

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Solution

The third proportional to 229,806,827 and 343,896,015 is: 514,625,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,806,827 : 343,896,015 = 343,896,015 : x
  2. Step 2: Convert to fraction form
    229,806,827/343,896,015 = 343,896,015/x
  3. Step 3: Cross multiply
    229,806,827x = 343,896,015 × 343,896,015
  4. Step 4: Simplify right side
    229,806,827x = 118,264,469,132,880,224
  5. Step 5: Solve for x
    x = 118,264,469,132,880,224/229,806,827
  6. Step 6: Final answer
    x = 514,625,569.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.