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Finding the Third Proportional to 229,612,643 and 354,569,400

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Solution

The third proportional to 229,612,643 and 354,569,400 is: 547,528,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,612,643 : 354,569,400 = 354,569,400 : x
  2. Step 2: Convert to fraction form
    229,612,643/354,569,400 = 354,569,400/x
  3. Step 3: Cross multiply
    229,612,643x = 354,569,400 × 354,569,400
  4. Step 4: Simplify right side
    229,612,643x = 125,719,459,416,360,000
  5. Step 5: Solve for x
    x = 125,719,459,416,360,000/229,612,643
  6. Step 6: Final answer
    x = 547,528,471.31

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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.