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Finding the Third Proportional to 107,954,409 and 235,076,658

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Solution

The third proportional to 107,954,409 and 235,076,658 is: 511,892,340.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,954,409 : 235,076,658 = 235,076,658 : x
  2. Step 2: Convert to fraction form
    107,954,409/235,076,658 = 235,076,658/x
  3. Step 3: Cross multiply
    107,954,409x = 235,076,658 × 235,076,658
  4. Step 4: Simplify right side
    107,954,409x = 55,261,035,136,448,960
  5. Step 5: Solve for x
    x = 55,261,035,136,448,960/107,954,409
  6. Step 6: Final answer
    x = 511,892,340.93

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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.