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Finding the Third Proportional to 108,268,820 and 255,503,424.50

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Solution

The third proportional to 108,268,820 and 255,503,424.50 is: 602,962,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,268,820 : 255,503,424.50 = 255,503,424.50 : x
  2. Step 2: Convert to fraction form
    108,268,820/255,503,424.50 = 255,503,424.50/x
  3. Step 3: Cross multiply
    108,268,820x = 255,503,424.50 × 255,503,424.50
  4. Step 4: Simplify right side
    108,268,820x = 65,281,999,931,227,200
  5. Step 5: Solve for x
    x = 65,281,999,931,227,200/108,268,820
  6. Step 6: Final answer
    x = 602,962,144.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.