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Finding the Third Proportional to 229,612,640.63 and 354,569,396.63

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Solution

The third proportional to 229,612,640.63 and 354,569,396.63 is: 547,528,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,612,640.63 : 354,569,396.63 = 354,569,396.63 : x
  2. Step 2: Convert to fraction form
    229,612,640.63/354,569,396.63 = 354,569,396.63/x
  3. Step 3: Cross multiply
    229,612,640.63x = 354,569,396.63 × 354,569,396.63
  4. Step 4: Simplify right side
    229,612,640.63x = 125,719,457,023,016,560
  5. Step 5: Solve for x
    x = 125,719,457,023,016,560/229,612,640.63
  6. Step 6: Final answer
    x = 547,528,466.55

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