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Finding the Third Proportional to 252,312,823 and 368,890,168

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Solution

The third proportional to 252,312,823 and 368,890,168 is: 539,330,321.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,312,823 : 368,890,168 = 368,890,168 : x
  2. Step 2: Convert to fraction form
    252,312,823/368,890,168 = 368,890,168/x
  3. Step 3: Cross multiply
    252,312,823x = 368,890,168 × 368,890,168
  4. Step 4: Simplify right side
    252,312,823x = 136,079,956,047,068,224
  5. Step 5: Solve for x
    x = 136,079,956,047,068,224/252,312,823
  6. Step 6: Final answer
    x = 539,330,321.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.