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Finding the Third Proportional to 229,612,645 and 354,569,403

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Solution

The third proportional to 229,612,645 and 354,569,403 is: 547,528,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,612,645 : 354,569,403 = 354,569,403 : x
  2. Step 2: Convert to fraction form
    229,612,645/354,569,403 = 354,569,403/x
  3. Step 3: Cross multiply
    229,612,645x = 354,569,403 × 354,569,403
  4. Step 4: Simplify right side
    229,612,645x = 125,719,461,543,776,416
  5. Step 5: Solve for x
    x = 125,719,461,543,776,416/229,612,645
  6. Step 6: Final answer
    x = 547,528,475.81

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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.