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Finding the Third Proportional to 107,954,506 and 235,076,852

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Solution

The third proportional to 107,954,506 and 235,076,852 is: 511,892,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,954,506 : 235,076,852 = 235,076,852 : x
  2. Step 2: Convert to fraction form
    107,954,506/235,076,852 = 235,076,852/x
  3. Step 3: Cross multiply
    107,954,506x = 235,076,852 × 235,076,852
  4. Step 4: Simplify right side
    107,954,506x = 55,261,126,346,229,904
  5. Step 5: Solve for x
    x = 55,261,126,346,229,904/107,954,506
  6. Step 6: Final answer
    x = 511,892,725.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.