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Finding the Third Proportional to 229,612,628.81 and 354,569,379.75

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Solution

The third proportional to 229,612,628.81 and 354,569,379.75 is: 547,528,442.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,612,628.81 : 354,569,379.75 = 354,569,379.75 : x
  2. Step 2: Convert to fraction form
    229,612,628.81/354,569,379.75 = 354,569,379.75/x
  3. Step 3: Cross multiply
    229,612,628.81x = 354,569,379.75 × 354,569,379.75
  4. Step 4: Simplify right side
    229,612,628.81x = 125,719,445,056,299,712
  5. Step 5: Solve for x
    x = 125,719,445,056,299,712/229,612,628.81
  6. Step 6: Final answer
    x = 547,528,442.61

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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.